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Finding the Fourth Proportional to 1,122.47, 1,549.18 and 1,086.04

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Solution

The fourth proportional to 1,122.47, 1,549.18 and 1,086.04 is: 1,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.47 : 1,549.18 = 1,086.04 : x
  2. Step 2: Convert to fraction form
    1,122.47/1,549.18 = 1,086.04/x
  3. Step 3: Cross multiply
    1,122.47x = 1,549.18 × 1,086.04
  4. Step 4: Simplify right side
    1,122.47x = 1,682,471.45
  5. Step 5: Solve for x
    x = 1,682,471.45/1,122.47
  6. Step 6: Final answer
    x = 1,498.90

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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.