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Finding the Fourth Proportional to 1,122.52, 1,686.52 and 1,060.35

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Solution

The fourth proportional to 1,122.52, 1,686.52 and 1,060.35 is: 1,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.52 : 1,686.52 = 1,060.35 : x
  2. Step 2: Convert to fraction form
    1,122.52/1,686.52 = 1,060.35/x
  3. Step 3: Cross multiply
    1,122.52x = 1,686.52 × 1,060.35
  4. Step 4: Simplify right side
    1,122.52x = 1,788,301.48
  5. Step 5: Solve for x
    x = 1,788,301.48/1,122.52
  6. Step 6: Final answer
    x = 1,593.11

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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.