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Finding the Fourth Proportional to 1,234.13, 1,843.05 and 1,098.05

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Solution

The fourth proportional to 1,234.13, 1,843.05 and 1,098.05 is: 1,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.13 : 1,843.05 = 1,098.05 : x
  2. Step 2: Convert to fraction form
    1,234.13/1,843.05 = 1,098.05/x
  3. Step 3: Cross multiply
    1,234.13x = 1,843.05 × 1,098.05
  4. Step 4: Simplify right side
    1,234.13x = 2,023,751.84
  5. Step 5: Solve for x
    x = 2,023,751.84/1,234.13
  6. Step 6: Final answer
    x = 1,639.83

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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.