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Finding the Fourth Proportional to 15,732.13, 21,714.95 and 9,363.20

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Solution

The fourth proportional to 15,732.13, 21,714.95 and 9,363.20 is: 12,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.13 : 21,714.95 = 9,363.20 : x
  2. Step 2: Convert to fraction form
    15,732.13/21,714.95 = 9,363.20/x
  3. Step 3: Cross multiply
    15,732.13x = 21,714.95 × 9,363.20
  4. Step 4: Simplify right side
    15,732.13x = 203,321,419.84
  5. Step 5: Solve for x
    x = 203,321,419.84/15,732.13
  6. Step 6: Final answer
    x = 12,923.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.