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Finding the Fourth Proportional to 19,776.59, 27,284.90 and 11,272.57

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Solution

The fourth proportional to 19,776.59, 27,284.90 and 11,272.57 is: 15,552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.59 : 27,284.90 = 11,272.57 : x
  2. Step 2: Convert to fraction form
    19,776.59/27,284.90 = 11,272.57/x
  3. Step 3: Cross multiply
    19,776.59x = 27,284.90 × 11,272.57
  4. Step 4: Simplify right side
    19,776.59x = 307,570,905.16
  5. Step 5: Solve for x
    x = 307,570,905.16/19,776.59
  6. Step 6: Final answer
    x = 15,552.28

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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.