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Finding the Fourth Proportional to 7,375.68, 10,177.92 and 5,289.12

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Solution

The fourth proportional to 7,375.68, 10,177.92 and 5,289.12 is: 7,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375.68 : 10,177.92 = 5,289.12 : x
  2. Step 2: Convert to fraction form
    7,375.68/10,177.92 = 5,289.12/x
  3. Step 3: Cross multiply
    7,375.68x = 10,177.92 × 5,289.12
  4. Step 4: Simplify right side
    7,375.68x = 53,832,240.23
  5. Step 5: Solve for x
    x = 53,832,240.23/7,375.68
  6. Step 6: Final answer
    x = 7,298.61

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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.