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Finding the Fourth Proportional to 9,149.10, 13,723.65 and 9,084.30

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Solution

The fourth proportional to 9,149.10, 13,723.65 and 9,084.30 is: 13,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.10 : 13,723.65 = 9,084.30 : x
  2. Step 2: Convert to fraction form
    9,149.10/13,723.65 = 9,084.30/x
  3. Step 3: Cross multiply
    9,149.10x = 13,723.65 × 9,084.30
  4. Step 4: Simplify right side
    9,149.10x = 124,669,753.70
  5. Step 5: Solve for x
    x = 124,669,753.70/9,149.10
  6. Step 6: Final answer
    x = 13,626.45

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Similar ratio
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1.5x scale

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.