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Finding the Fourth Proportional to 27,998.77, 42,004.39 and 10,229.40

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Solution

The fourth proportional to 27,998.77, 42,004.39 and 10,229.40 is: 15,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998.77 : 42,004.39 = 10,229.40 : x
  2. Step 2: Convert to fraction form
    27,998.77/42,004.39 = 10,229.40/x
  3. Step 3: Cross multiply
    27,998.77x = 42,004.39 × 10,229.40
  4. Step 4: Simplify right side
    27,998.77x = 429,679,707.07
  5. Step 5: Solve for x
    x = 429,679,707.07/27,998.77
  6. Step 6: Final answer
    x = 15,346.38

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.