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Finding the Fourth Proportional to 9,660.78, 14,454.72 and 6,377.85

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Solution

The fourth proportional to 9,660.78, 14,454.72 and 6,377.85 is: 9,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.78 : 14,454.72 = 6,377.85 : x
  2. Step 2: Convert to fraction form
    9,660.78/14,454.72 = 6,377.85/x
  3. Step 3: Cross multiply
    9,660.78x = 14,454.72 × 6,377.85
  4. Step 4: Simplify right side
    9,660.78x = 92,190,035.95
  5. Step 5: Solve for x
    x = 92,190,035.95/9,660.78
  6. Step 6: Final answer
    x = 9,542.71

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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.