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Finding the Fourth Proportional to 8,761.74, 13,134.80 and 3,213.79

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Solution

The fourth proportional to 8,761.74, 13,134.80 and 3,213.79 is: 4,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.74 : 13,134.80 = 3,213.79 : x
  2. Step 2: Convert to fraction form
    8,761.74/13,134.80 = 3,213.79/x
  3. Step 3: Cross multiply
    8,761.74x = 13,134.80 × 3,213.79
  4. Step 4: Simplify right side
    8,761.74x = 42,212,488.89
  5. Step 5: Solve for x
    x = 42,212,488.89/8,761.74
  6. Step 6: Final answer
    x = 4,817.82

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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.