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Finding the Fourth Proportional to 5,241.87, 7,862.82 and 4,979.10

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Solution

The fourth proportional to 5,241.87, 7,862.82 and 4,979.10 is: 7,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.87 : 7,862.82 = 4,979.10 : x
  2. Step 2: Convert to fraction form
    5,241.87/7,862.82 = 4,979.10/x
  3. Step 3: Cross multiply
    5,241.87x = 7,862.82 × 4,979.10
  4. Step 4: Simplify right side
    5,241.87x = 39,149,767.06
  5. Step 5: Solve for x
    x = 39,149,767.06/5,241.87
  6. Step 6: Final answer
    x = 7,468.66

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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.