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Finding the Fourth Proportional to 13,115.90, 18,099.78 and 7,147.42

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Solution

The fourth proportional to 13,115.90, 18,099.78 and 7,147.42 is: 9,863.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.90 : 18,099.78 = 7,147.42 : x
  2. Step 2: Convert to fraction form
    13,115.90/18,099.78 = 7,147.42/x
  3. Step 3: Cross multiply
    13,115.90x = 18,099.78 × 7,147.42
  4. Step 4: Simplify right side
    13,115.90x = 129,366,729.57
  5. Step 5: Solve for x
    x = 129,366,729.57/13,115.90
  6. Step 6: Final answer
    x = 9,863.35

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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.