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Finding the Fourth Proportional to 5,291.40, 7,914.42 and 5,149.92

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Solution

The fourth proportional to 5,291.40, 7,914.42 and 5,149.92 is: 7,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.40 : 7,914.42 = 5,149.92 : x
  2. Step 2: Convert to fraction form
    5,291.40/7,914.42 = 5,149.92/x
  3. Step 3: Cross multiply
    5,291.40x = 7,914.42 × 5,149.92
  4. Step 4: Simplify right side
    5,291.40x = 40,758,629.85
  5. Step 5: Solve for x
    x = 40,758,629.85/5,291.40
  6. Step 6: Final answer
    x = 7,702.81

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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.