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Finding the Fourth Proportional to 5,149.88, 7,735.40 and 3,397.40

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Solution

The fourth proportional to 5,149.88, 7,735.40 and 3,397.40 is: 5,103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.88 : 7,735.40 = 3,397.40 : x
  2. Step 2: Convert to fraction form
    5,149.88/7,735.40 = 3,397.40/x
  3. Step 3: Cross multiply
    5,149.88x = 7,735.40 × 3,397.40
  4. Step 4: Simplify right side
    5,149.88x = 26,280,247.96
  5. Step 5: Solve for x
    x = 26,280,247.96/5,149.88
  6. Step 6: Final answer
    x = 5,103.08

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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.