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Finding the Fourth Proportional to 11,375.20, 15,697.72 and 6,658.56

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Solution

The fourth proportional to 11,375.20, 15,697.72 and 6,658.56 is: 9,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.20 : 15,697.72 = 6,658.56 : x
  2. Step 2: Convert to fraction form
    11,375.20/15,697.72 = 6,658.56/x
  3. Step 3: Cross multiply
    11,375.20x = 15,697.72 × 6,658.56
  4. Step 4: Simplify right side
    11,375.20x = 104,524,210.48
  5. Step 5: Solve for x
    x = 104,524,210.48/11,375.20
  6. Step 6: Final answer
    x = 9,188.78

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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.