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Finding the Fourth Proportional to 9,104.60, 13,646.10 and 3,839.60

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Solution

The fourth proportional to 9,104.60, 13,646.10 and 3,839.60 is: 5,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.60 : 13,646.10 = 3,839.60 : x
  2. Step 2: Convert to fraction form
    9,104.60/13,646.10 = 3,839.60/x
  3. Step 3: Cross multiply
    9,104.60x = 13,646.10 × 3,839.60
  4. Step 4: Simplify right side
    9,104.60x = 52,395,565.56
  5. Step 5: Solve for x
    x = 52,395,565.56/9,104.60
  6. Step 6: Final answer
    x = 5,754.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.