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Finding the Fourth Proportional to 16,149.40, 24,191.70 and 9,215.80

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Solution

The fourth proportional to 16,149.40, 24,191.70 and 9,215.80 is: 13,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.40 : 24,191.70 = 9,215.80 : x
  2. Step 2: Convert to fraction form
    16,149.40/24,191.70 = 9,215.80/x
  3. Step 3: Cross multiply
    16,149.40x = 24,191.70 × 9,215.80
  4. Step 4: Simplify right side
    16,149.40x = 222,945,868.86
  5. Step 5: Solve for x
    x = 222,945,868.86/16,149.40
  6. Step 6: Final answer
    x = 13,805.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.