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Finding the Fourth Proportional to 8,287.65, 12,431.66 and 2,131.65

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Solution

The fourth proportional to 8,287.65, 12,431.66 and 2,131.65 is: 3,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.65 : 12,431.66 = 2,131.65 : x
  2. Step 2: Convert to fraction form
    8,287.65/12,431.66 = 2,131.65/x
  3. Step 3: Cross multiply
    8,287.65x = 12,431.66 × 2,131.65
  4. Step 4: Simplify right side
    8,287.65x = 26,499,937.38
  5. Step 5: Solve for x
    x = 26,499,937.38/8,287.65
  6. Step 6: Final answer
    x = 3,197.52

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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.