Home / 1,442.70-2,164.85-1,098.18

Finding the Fourth Proportional to 1,442.70, 2,164.85 and 1,098.18

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Solution

The fourth proportional to 1,442.70, 2,164.85 and 1,098.18 is: 1,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.70 : 2,164.85 = 1,098.18 : x
  2. Step 2: Convert to fraction form
    1,442.70/2,164.85 = 1,098.18/x
  3. Step 3: Cross multiply
    1,442.70x = 2,164.85 × 1,098.18
  4. Step 4: Simplify right side
    1,442.70x = 2,377,378.66
  5. Step 5: Solve for x
    x = 2,377,378.66/1,442.70
  6. Step 6: Final answer
    x = 1,647.87

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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.