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Finding the Fourth Proportional to 15,347, 21,180 and 9,379.84

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Solution

The fourth proportional to 15,347, 21,180 and 9,379.84 is: 12,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,347 : 21,180 = 9,379.84 : x
  2. Step 2: Convert to fraction form
    15,347/21,180 = 9,379.84/x
  3. Step 3: Cross multiply
    15,347x = 21,180 × 9,379.84
  4. Step 4: Simplify right side
    15,347x = 198,665,011.20
  5. Step 5: Solve for x
    x = 198,665,011.20/15,347
  6. Step 6: Final answer
    x = 12,944.88

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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.