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Finding the Fourth Proportional to 9,965.90, 13,753.05 and 5,489.56

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Solution

The fourth proportional to 9,965.90, 13,753.05 and 5,489.56 is: 7,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.90 : 13,753.05 = 5,489.56 : x
  2. Step 2: Convert to fraction form
    9,965.90/13,753.05 = 5,489.56/x
  3. Step 3: Cross multiply
    9,965.90x = 13,753.05 × 5,489.56
  4. Step 4: Simplify right side
    9,965.90x = 75,498,179.36
  5. Step 5: Solve for x
    x = 75,498,179.36/9,965.90
  6. Step 6: Final answer
    x = 7,575.65

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1.5x scale

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.