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Finding the Fourth Proportional to 5,140.90, 7,691.90 and 4,829.86

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Solution

The fourth proportional to 5,140.90, 7,691.90 and 4,829.86 is: 7,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.90 : 7,691.90 = 4,829.86 : x
  2. Step 2: Convert to fraction form
    5,140.90/7,691.90 = 4,829.86/x
  3. Step 3: Cross multiply
    5,140.90x = 7,691.90 × 4,829.86
  4. Step 4: Simplify right side
    5,140.90x = 37,150,761.67
  5. Step 5: Solve for x
    x = 37,150,761.67/5,140.90
  6. Step 6: Final answer
    x = 7,226.52

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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.