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Finding the Fourth Proportional to 11,310.80, 15,616.99 and 7,542.85

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Solution

The fourth proportional to 11,310.80, 15,616.99 and 7,542.85 is: 10,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.80 : 15,616.99 = 7,542.85 : x
  2. Step 2: Convert to fraction form
    11,310.80/15,616.99 = 7,542.85/x
  3. Step 3: Cross multiply
    11,310.80x = 15,616.99 × 7,542.85
  4. Step 4: Simplify right side
    11,310.80x = 117,796,613.02
  5. Step 5: Solve for x
    x = 117,796,613.02/11,310.80
  6. Step 6: Final answer
    x = 10,414.53

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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.