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Finding the Fourth Proportional to 8,287.16, 12,431.30 and 3,093

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Solution

The fourth proportional to 8,287.16, 12,431.30 and 3,093 is: 4,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.16 : 12,431.30 = 3,093 : x
  2. Step 2: Convert to fraction form
    8,287.16/12,431.30 = 3,093/x
  3. Step 3: Cross multiply
    8,287.16x = 12,431.30 × 3,093
  4. Step 4: Simplify right side
    8,287.16x = 38,450,010.90
  5. Step 5: Solve for x
    x = 38,450,010.90/8,287.16
  6. Step 6: Final answer
    x = 4,639.71

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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.