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Finding the Fourth Proportional to 2,287.82, 3,157.20 and 1,239.88

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Solution

The fourth proportional to 2,287.82, 3,157.20 and 1,239.88 is: 1,711.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.82 : 3,157.20 = 1,239.88 : x
  2. Step 2: Convert to fraction form
    2,287.82/3,157.20 = 1,239.88/x
  3. Step 3: Cross multiply
    2,287.82x = 3,157.20 × 1,239.88
  4. Step 4: Simplify right side
    2,287.82x = 3,914,549.14
  5. Step 5: Solve for x
    x = 3,914,549.14/2,287.82
  6. Step 6: Final answer
    x = 1,711.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.