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Finding the Fourth Proportional to 27,155.38, 37,471.38 and 15,217

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Solution

The fourth proportional to 27,155.38, 37,471.38 and 15,217 is: 20,997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,155.38 : 37,471.38 = 15,217 : x
  2. Step 2: Convert to fraction form
    27,155.38/37,471.38 = 15,217/x
  3. Step 3: Cross multiply
    27,155.38x = 37,471.38 × 15,217
  4. Step 4: Simplify right side
    27,155.38x = 570,201,989.46
  5. Step 5: Solve for x
    x = 570,201,989.46/27,155.38
  6. Step 6: Final answer
    x = 20,997.75

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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.