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Finding the Fourth Proportional to 9,965.44, 13,752.14 and 5,489.60

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Solution

The fourth proportional to 9,965.44, 13,752.14 and 5,489.60 is: 7,575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.44 : 13,752.14 = 5,489.60 : x
  2. Step 2: Convert to fraction form
    9,965.44/13,752.14 = 5,489.60/x
  3. Step 3: Cross multiply
    9,965.44x = 13,752.14 × 5,489.60
  4. Step 4: Simplify right side
    9,965.44x = 75,493,790.75
  5. Step 5: Solve for x
    x = 75,493,790.75/9,965.44
  6. Step 6: Final answer
    x = 7,575.56

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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.