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Finding the Fourth Proportional to 8,871.91, 13,306.64 and 5,175.88

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Solution

The fourth proportional to 8,871.91, 13,306.64 and 5,175.88 is: 7,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,871.91 : 13,306.64 = 5,175.88 : x
  2. Step 2: Convert to fraction form
    8,871.91/13,306.64 = 5,175.88/x
  3. Step 3: Cross multiply
    8,871.91x = 13,306.64 × 5,175.88
  4. Step 4: Simplify right side
    8,871.91x = 68,873,571.84
  5. Step 5: Solve for x
    x = 68,873,571.84/8,871.91
  6. Step 6: Final answer
    x = 7,763.11

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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.