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Finding the Fourth Proportional to 8,634.96, 12,971.96 and 5,174.64

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Solution

The fourth proportional to 8,634.96, 12,971.96 and 5,174.64 is: 7,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.96 : 12,971.96 = 5,174.64 : x
  2. Step 2: Convert to fraction form
    8,634.96/12,971.96 = 5,174.64/x
  3. Step 3: Cross multiply
    8,634.96x = 12,971.96 × 5,174.64
  4. Step 4: Simplify right side
    8,634.96x = 67,125,223.09
  5. Step 5: Solve for x
    x = 67,125,223.09/8,634.96
  6. Step 6: Final answer
    x = 7,773.66

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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.