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Finding the Fourth Proportional to 3,174.64, 4,761.96 and 866.16

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Solution

The fourth proportional to 3,174.64, 4,761.96 and 866.16 is: 1,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.64 : 4,761.96 = 866.16 : x
  2. Step 2: Convert to fraction form
    3,174.64/4,761.96 = 866.16/x
  3. Step 3: Cross multiply
    3,174.64x = 4,761.96 × 866.16
  4. Step 4: Simplify right side
    3,174.64x = 4,124,619.27
  5. Step 5: Solve for x
    x = 4,124,619.27/3,174.64
  6. Step 6: Final answer
    x = 1,299.24

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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.