Home / 2,227.60-3,342.40-767.80

Finding the Fourth Proportional to 2,227.60, 3,342.40 and 767.80

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Solution

The fourth proportional to 2,227.60, 3,342.40 and 767.80 is: 1,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.60 : 3,342.40 = 767.80 : x
  2. Step 2: Convert to fraction form
    2,227.60/3,342.40 = 767.80/x
  3. Step 3: Cross multiply
    2,227.60x = 3,342.40 × 767.80
  4. Step 4: Simplify right side
    2,227.60x = 2,566,294.72
  5. Step 5: Solve for x
    x = 2,566,294.72/2,227.60
  6. Step 6: Final answer
    x = 1,152.04

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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.