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Finding the Fourth Proportional to 3,107.43, 4,661.47 and 998.52

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Solution

The fourth proportional to 3,107.43, 4,661.47 and 998.52 is: 1,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.43 : 4,661.47 = 998.52 : x
  2. Step 2: Convert to fraction form
    3,107.43/4,661.47 = 998.52/x
  3. Step 3: Cross multiply
    3,107.43x = 4,661.47 × 998.52
  4. Step 4: Simplify right side
    3,107.43x = 4,654,568.53
  5. Step 5: Solve for x
    x = 4,654,568.53/3,107.43
  6. Step 6: Final answer
    x = 1,497.88

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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.