Home / 2,252.40-3,377.78-865.02

Finding the Fourth Proportional to 2,252.40, 3,377.78 and 865.02

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Solution

The fourth proportional to 2,252.40, 3,377.78 and 865.02 is: 1,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.40 : 3,377.78 = 865.02 : x
  2. Step 2: Convert to fraction form
    2,252.40/3,377.78 = 865.02/x
  3. Step 3: Cross multiply
    2,252.40x = 3,377.78 × 865.02
  4. Step 4: Simplify right side
    2,252.40x = 2,921,847.26
  5. Step 5: Solve for x
    x = 2,921,847.26/2,252.40
  6. Step 6: Final answer
    x = 1,297.22

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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.