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Finding the Fourth Proportional to 38,055, 57,082.68 and 13,431

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Solution

The fourth proportional to 38,055, 57,082.68 and 13,431 is: 20,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,055 : 57,082.68 = 13,431 : x
  2. Step 2: Convert to fraction form
    38,055/57,082.68 = 13,431/x
  3. Step 3: Cross multiply
    38,055x = 57,082.68 × 13,431
  4. Step 4: Simplify right side
    38,055x = 766,677,475.08
  5. Step 5: Solve for x
    x = 766,677,475.08/38,055
  6. Step 6: Final answer
    x = 20,146.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.