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Finding the Fourth Proportional to 5,221.87, 7,829.32 and 2,690.61

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Solution

The fourth proportional to 5,221.87, 7,829.32 and 2,690.61 is: 4,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.87 : 7,829.32 = 2,690.61 : x
  2. Step 2: Convert to fraction form
    5,221.87/7,829.32 = 2,690.61/x
  3. Step 3: Cross multiply
    5,221.87x = 7,829.32 × 2,690.61
  4. Step 4: Simplify right side
    5,221.87x = 21,065,646.69
  5. Step 5: Solve for x
    x = 21,065,646.69/5,221.87
  6. Step 6: Final answer
    x = 4,034.12

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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.