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Finding the Fourth Proportional to 9,375.60, 12,951.60 and 7,499.64

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Solution

The fourth proportional to 9,375.60, 12,951.60 and 7,499.64 is: 10,360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.60 : 12,951.60 = 7,499.64 : x
  2. Step 2: Convert to fraction form
    9,375.60/12,951.60 = 7,499.64/x
  3. Step 3: Cross multiply
    9,375.60x = 12,951.60 × 7,499.64
  4. Step 4: Simplify right side
    9,375.60x = 97,132,337.42
  5. Step 5: Solve for x
    x = 97,132,337.42/9,375.60
  6. Step 6: Final answer
    x = 10,360.12

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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.