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Finding the Fourth Proportional to 5,287.68, 7,936.20 and 2,949.48

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Solution

The fourth proportional to 5,287.68, 7,936.20 and 2,949.48 is: 4,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.68 : 7,936.20 = 2,949.48 : x
  2. Step 2: Convert to fraction form
    5,287.68/7,936.20 = 2,949.48/x
  3. Step 3: Cross multiply
    5,287.68x = 7,936.20 × 2,949.48
  4. Step 4: Simplify right side
    5,287.68x = 23,407,663.18
  5. Step 5: Solve for x
    x = 23,407,663.18/5,287.68
  6. Step 6: Final answer
    x = 4,426.83

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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.