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Finding the Fourth Proportional to 12,294.47, 18,452.72 and 6,375.60

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Solution

The fourth proportional to 12,294.47, 18,452.72 and 6,375.60 is: 9,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.47 : 18,452.72 = 6,375.60 : x
  2. Step 2: Convert to fraction form
    12,294.47/18,452.72 = 6,375.60/x
  3. Step 3: Cross multiply
    12,294.47x = 18,452.72 × 6,375.60
  4. Step 4: Simplify right side
    12,294.47x = 117,647,177.57
  5. Step 5: Solve for x
    x = 117,647,177.57/12,294.47
  6. Step 6: Final answer
    x = 9,569.11

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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.