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Finding the Fourth Proportional to 5,282.92, 7,924.40 and 1,387

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Solution

The fourth proportional to 5,282.92, 7,924.40 and 1,387 is: 2,080.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.92 : 7,924.40 = 1,387 : x
  2. Step 2: Convert to fraction form
    5,282.92/7,924.40 = 1,387/x
  3. Step 3: Cross multiply
    5,282.92x = 7,924.40 × 1,387
  4. Step 4: Simplify right side
    5,282.92x = 10,991,142.80
  5. Step 5: Solve for x
    x = 10,991,142.80/5,282.92
  6. Step 6: Final answer
    x = 2,080.51

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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.