Home / 1,414.28-2,122.77-867.53

Finding the Fourth Proportional to 1,414.28, 2,122.77 and 867.53

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Solution

The fourth proportional to 1,414.28, 2,122.77 and 867.53 is: 1,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.28 : 2,122.77 = 867.53 : x
  2. Step 2: Convert to fraction form
    1,414.28/2,122.77 = 867.53/x
  3. Step 3: Cross multiply
    1,414.28x = 2,122.77 × 867.53
  4. Step 4: Simplify right side
    1,414.28x = 1,841,575.22
  5. Step 5: Solve for x
    x = 1,841,575.22/1,414.28
  6. Step 6: Final answer
    x = 1,302.13

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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.