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Finding the Fourth Proportional to 1,098.27, 1,634.86 and 1,081.87

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Solution

The fourth proportional to 1,098.27, 1,634.86 and 1,081.87 is: 1,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.27 : 1,634.86 = 1,081.87 : x
  2. Step 2: Convert to fraction form
    1,098.27/1,634.86 = 1,081.87/x
  3. Step 3: Cross multiply
    1,098.27x = 1,634.86 × 1,081.87
  4. Step 4: Simplify right side
    1,098.27x = 1,768,703.25
  5. Step 5: Solve for x
    x = 1,768,703.25/1,098.27
  6. Step 6: Final answer
    x = 1,610.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.