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Finding the Fourth Proportional to 38,372, 57,584.10 and 13,748

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Solution

The fourth proportional to 38,372, 57,584.10 and 13,748 is: 20,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,372 : 57,584.10 = 13,748 : x
  2. Step 2: Convert to fraction form
    38,372/57,584.10 = 13,748/x
  3. Step 3: Cross multiply
    38,372x = 57,584.10 × 13,748
  4. Step 4: Simplify right side
    38,372x = 791,666,206.80
  5. Step 5: Solve for x
    x = 791,666,206.80/38,372
  6. Step 6: Final answer
    x = 20,631.35

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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.