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Finding the Fourth Proportional to 8,650.33, 12,974.31 and 3,102.87

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Solution

The fourth proportional to 8,650.33, 12,974.31 and 3,102.87 is: 4,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650.33 : 12,974.31 = 3,102.87 : x
  2. Step 2: Convert to fraction form
    8,650.33/12,974.31 = 3,102.87/x
  3. Step 3: Cross multiply
    8,650.33x = 12,974.31 × 3,102.87
  4. Step 4: Simplify right side
    8,650.33x = 40,257,645.92
  5. Step 5: Solve for x
    x = 40,257,645.92/8,650.33
  6. Step 6: Final answer
    x = 4,653.89

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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.