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Finding the Fourth Proportional to 27,874.91, 38,468.53 and 15,938.24

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Solution

The fourth proportional to 27,874.91, 38,468.53 and 15,938.24 is: 21,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.91 : 38,468.53 = 15,938.24 : x
  2. Step 2: Convert to fraction form
    27,874.91/38,468.53 = 15,938.24/x
  3. Step 3: Cross multiply
    27,874.91x = 38,468.53 × 15,938.24
  4. Step 4: Simplify right side
    27,874.91x = 613,120,663.59
  5. Step 5: Solve for x
    x = 613,120,663.59/27,874.91
  6. Step 6: Final answer
    x = 21,995.43

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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.