Home / 3,414.13-5,122-1,105.63

Finding the Fourth Proportional to 3,414.13, 5,122 and 1,105.63

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Solution

The fourth proportional to 3,414.13, 5,122 and 1,105.63 is: 1,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.13 : 5,122 = 1,105.63 : x
  2. Step 2: Convert to fraction form
    3,414.13/5,122 = 1,105.63/x
  3. Step 3: Cross multiply
    3,414.13x = 5,122 × 1,105.63
  4. Step 4: Simplify right side
    3,414.13x = 5,663,036.86
  5. Step 5: Solve for x
    x = 5,663,036.86/3,414.13
  6. Step 6: Final answer
    x = 1,658.71

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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.