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Finding the Fourth Proportional to 9,965.74, 13,751.85 and 5,489.14

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Solution

The fourth proportional to 9,965.74, 13,751.85 and 5,489.14 is: 7,574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.74 : 13,751.85 = 5,489.14 : x
  2. Step 2: Convert to fraction form
    9,965.74/13,751.85 = 5,489.14/x
  3. Step 3: Cross multiply
    9,965.74x = 13,751.85 × 5,489.14
  4. Step 4: Simplify right side
    9,965.74x = 75,485,829.91
  5. Step 5: Solve for x
    x = 75,485,829.91/9,965.74
  6. Step 6: Final answer
    x = 7,574.53

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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.