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Finding the Fourth Proportional to 1,242.80, 1,862.40 and 1,059.20

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Solution

The fourth proportional to 1,242.80, 1,862.40 and 1,059.20 is: 1,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.80 : 1,862.40 = 1,059.20 : x
  2. Step 2: Convert to fraction form
    1,242.80/1,862.40 = 1,059.20/x
  3. Step 3: Cross multiply
    1,242.80x = 1,862.40 × 1,059.20
  4. Step 4: Simplify right side
    1,242.80x = 1,972,654.08
  5. Step 5: Solve for x
    x = 1,972,654.08/1,242.80
  6. Step 6: Final answer
    x = 1,587.27

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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.