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Finding the Fourth Proportional to 27,691, 38,213.70 and 15,115.84

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Solution

The fourth proportional to 27,691, 38,213.70 and 15,115.84 is: 20,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691 : 38,213.70 = 15,115.84 : x
  2. Step 2: Convert to fraction form
    27,691/38,213.70 = 15,115.84/x
  3. Step 3: Cross multiply
    27,691x = 38,213.70 × 15,115.84
  4. Step 4: Simplify right side
    27,691x = 577,632,175.01
  5. Step 5: Solve for x
    x = 577,632,175.01/27,691
  6. Step 6: Final answer
    x = 20,859.92

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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.