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Finding the Fourth Proportional to 3,174.90, 4,761.81 and 865.86

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Solution

The fourth proportional to 3,174.90, 4,761.81 and 865.86 is: 1,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.90 : 4,761.81 = 865.86 : x
  2. Step 2: Convert to fraction form
    3,174.90/4,761.81 = 865.86/x
  3. Step 3: Cross multiply
    3,174.90x = 4,761.81 × 865.86
  4. Step 4: Simplify right side
    3,174.90x = 4,123,060.81
  5. Step 5: Solve for x
    x = 4,123,060.81/3,174.90
  6. Step 6: Final answer
    x = 1,298.64

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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.