Home / 1,414.24-2,119.20-865.60

Finding the Fourth Proportional to 1,414.24, 2,119.20 and 865.60

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Solution

The fourth proportional to 1,414.24, 2,119.20 and 865.60 is: 1,297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.24 : 2,119.20 = 865.60 : x
  2. Step 2: Convert to fraction form
    1,414.24/2,119.20 = 865.60/x
  3. Step 3: Cross multiply
    1,414.24x = 2,119.20 × 865.60
  4. Step 4: Simplify right side
    1,414.24x = 1,834,379.52
  5. Step 5: Solve for x
    x = 1,834,379.52/1,414.24
  6. Step 6: Final answer
    x = 1,297.08

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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.