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Finding the Fourth Proportional to 2,879.74, 4,318.17 and 931.42

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Solution

The fourth proportional to 2,879.74, 4,318.17 and 931.42 is: 1,396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.74 : 4,318.17 = 931.42 : x
  2. Step 2: Convert to fraction form
    2,879.74/4,318.17 = 931.42/x
  3. Step 3: Cross multiply
    2,879.74x = 4,318.17 × 931.42
  4. Step 4: Simplify right side
    2,879.74x = 4,022,029.90
  5. Step 5: Solve for x
    x = 4,022,029.90/2,879.74
  6. Step 6: Final answer
    x = 1,396.66

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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.