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Finding the Fourth Proportional to 11,753.52, 16,220.90 and 6,449.36

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Solution

The fourth proportional to 11,753.52, 16,220.90 and 6,449.36 is: 8,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.52 : 16,220.90 = 6,449.36 : x
  2. Step 2: Convert to fraction form
    11,753.52/16,220.90 = 6,449.36/x
  3. Step 3: Cross multiply
    11,753.52x = 16,220.90 × 6,449.36
  4. Step 4: Simplify right side
    11,753.52x = 104,614,423.62
  5. Step 5: Solve for x
    x = 104,614,423.62/11,753.52
  6. Step 6: Final answer
    x = 8,900.69

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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.