Home / 1,281.52-1,922.82-1,098.46

Finding the Fourth Proportional to 1,281.52, 1,922.82 and 1,098.46

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Solution

The fourth proportional to 1,281.52, 1,922.82 and 1,098.46 is: 1,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.52 : 1,922.82 = 1,098.46 : x
  2. Step 2: Convert to fraction form
    1,281.52/1,922.82 = 1,098.46/x
  3. Step 3: Cross multiply
    1,281.52x = 1,922.82 × 1,098.46
  4. Step 4: Simplify right side
    1,281.52x = 2,112,140.86
  5. Step 5: Solve for x
    x = 2,112,140.86/1,281.52
  6. Step 6: Final answer
    x = 1,648.15

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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.