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Finding the Fourth Proportional to 9,122.70, 13,683.92 and 4,961.73

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Solution

The fourth proportional to 9,122.70, 13,683.92 and 4,961.73 is: 7,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.70 : 13,683.92 = 4,961.73 : x
  2. Step 2: Convert to fraction form
    9,122.70/13,683.92 = 4,961.73/x
  3. Step 3: Cross multiply
    9,122.70x = 13,683.92 × 4,961.73
  4. Step 4: Simplify right side
    9,122.70x = 67,895,891.57
  5. Step 5: Solve for x
    x = 67,895,891.57/9,122.70
  6. Step 6: Final answer
    x = 7,442.52

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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.