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Finding the Fourth Proportional to 3,098.97, 4,644.32 and 1,689.77

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Solution

The fourth proportional to 3,098.97, 4,644.32 and 1,689.77 is: 2,532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.97 : 4,644.32 = 1,689.77 : x
  2. Step 2: Convert to fraction form
    3,098.97/4,644.32 = 1,689.77/x
  3. Step 3: Cross multiply
    3,098.97x = 4,644.32 × 1,689.77
  4. Step 4: Simplify right side
    3,098.97x = 7,847,832.61
  5. Step 5: Solve for x
    x = 7,847,832.61/3,098.97
  6. Step 6: Final answer
    x = 2,532.40

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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.