Home / 2,278.62-3,417.82-961.83

Finding the Fourth Proportional to 2,278.62, 3,417.82 and 961.83

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Solution

The fourth proportional to 2,278.62, 3,417.82 and 961.83 is: 1,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.62 : 3,417.82 = 961.83 : x
  2. Step 2: Convert to fraction form
    2,278.62/3,417.82 = 961.83/x
  3. Step 3: Cross multiply
    2,278.62x = 3,417.82 × 961.83
  4. Step 4: Simplify right side
    2,278.62x = 3,287,359.41
  5. Step 5: Solve for x
    x = 3,287,359.41/2,278.62
  6. Step 6: Final answer
    x = 1,442.70

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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.