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Finding the Fourth Proportional to 27,877, 38,470.28 and 15,302.56

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Solution

The fourth proportional to 27,877, 38,470.28 and 15,302.56 is: 21,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877 : 38,470.28 = 15,302.56 : x
  2. Step 2: Convert to fraction form
    27,877/38,470.28 = 15,302.56/x
  3. Step 3: Cross multiply
    27,877x = 38,470.28 × 15,302.56
  4. Step 4: Simplify right side
    27,877x = 588,693,767.92
  5. Step 5: Solve for x
    x = 588,693,767.92/27,877
  6. Step 6: Final answer
    x = 21,117.54

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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.