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Finding the Fourth Proportional to 7,127.97, 9,836.49 and 4,144.87

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Solution

The fourth proportional to 7,127.97, 9,836.49 and 4,144.87 is: 5,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.97 : 9,836.49 = 4,144.87 : x
  2. Step 2: Convert to fraction form
    7,127.97/9,836.49 = 4,144.87/x
  3. Step 3: Cross multiply
    7,127.97x = 9,836.49 × 4,144.87
  4. Step 4: Simplify right side
    7,127.97x = 40,770,972.31
  5. Step 5: Solve for x
    x = 40,770,972.31/7,127.97
  6. Step 6: Final answer
    x = 5,719.86

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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.