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Finding the Fourth Proportional to 9,965.68, 13,752.48 and 5,489.85

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Solution

The fourth proportional to 9,965.68, 13,752.48 and 5,489.85 is: 7,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.68 : 13,752.48 = 5,489.85 : x
  2. Step 2: Convert to fraction form
    9,965.68/13,752.48 = 5,489.85/x
  3. Step 3: Cross multiply
    9,965.68x = 13,752.48 × 5,489.85
  4. Step 4: Simplify right side
    9,965.68x = 75,499,083.31
  5. Step 5: Solve for x
    x = 75,499,083.31/9,965.68
  6. Step 6: Final answer
    x = 7,575.91

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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.