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Finding the Fourth Proportional to 8,188.65, 12,282.27 and 3,256.96

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Solution

The fourth proportional to 8,188.65, 12,282.27 and 3,256.96 is: 4,885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.65 : 12,282.27 = 3,256.96 : x
  2. Step 2: Convert to fraction form
    8,188.65/12,282.27 = 3,256.96/x
  3. Step 3: Cross multiply
    8,188.65x = 12,282.27 × 3,256.96
  4. Step 4: Simplify right side
    8,188.65x = 40,002,862.10
  5. Step 5: Solve for x
    x = 40,002,862.10/8,188.65
  6. Step 6: Final answer
    x = 4,885.16

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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.