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Finding the Fourth Proportional to 38,506, 57,759 and 13,882

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Solution

The fourth proportional to 38,506, 57,759 and 13,882 is: 20,823

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506 : 57,759 = 13,882 : x
  2. Step 2: Convert to fraction form
    38,506/57,759 = 13,882/x
  3. Step 3: Cross multiply
    38,506x = 57,759 × 13,882
  4. Step 4: Simplify right side
    38,506x = 801,810,438
  5. Step 5: Solve for x
    x = 801,810,438/38,506
  6. Step 6: Final answer
    x = 20,823

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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.