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Finding the Fourth Proportional to 2,149.07, 2,977.20 and 2,098.04

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Solution

The fourth proportional to 2,149.07, 2,977.20 and 2,098.04 is: 2,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.07 : 2,977.20 = 2,098.04 : x
  2. Step 2: Convert to fraction form
    2,149.07/2,977.20 = 2,098.04/x
  3. Step 3: Cross multiply
    2,149.07x = 2,977.20 × 2,098.04
  4. Step 4: Simplify right side
    2,149.07x = 6,246,269.80
  5. Step 5: Solve for x
    x = 6,246,269.80/2,149.07
  6. Step 6: Final answer
    x = 2,906.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.