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Finding the Fourth Proportional to 16,764.84, 23,136.30 and 9,691.92

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Solution

The fourth proportional to 16,764.84, 23,136.30 and 9,691.92 is: 13,375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,764.84 : 23,136.30 = 9,691.92 : x
  2. Step 2: Convert to fraction form
    16,764.84/23,136.30 = 9,691.92/x
  3. Step 3: Cross multiply
    16,764.84x = 23,136.30 × 9,691.92
  4. Step 4: Simplify right side
    16,764.84x = 224,235,168.70
  5. Step 5: Solve for x
    x = 224,235,168.70/16,764.84
  6. Step 6: Final answer
    x = 13,375.32

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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.