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Finding the Fourth Proportional to 13,078.44, 18,047.63 and 7,412.85

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Solution

The fourth proportional to 13,078.44, 18,047.63 and 7,412.85 is: 10,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.44 : 18,047.63 = 7,412.85 : x
  2. Step 2: Convert to fraction form
    13,078.44/18,047.63 = 7,412.85/x
  3. Step 3: Cross multiply
    13,078.44x = 18,047.63 × 7,412.85
  4. Step 4: Simplify right side
    13,078.44x = 133,784,392.58
  5. Step 5: Solve for x
    x = 133,784,392.58/13,078.44
  6. Step 6: Final answer
    x = 10,229.38

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.