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Finding the Fourth Proportional to 8,646.75, 12,972.78 and 3,099.96

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Solution

The fourth proportional to 8,646.75, 12,972.78 and 3,099.96 is: 4,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.75 : 12,972.78 = 3,099.96 : x
  2. Step 2: Convert to fraction form
    8,646.75/12,972.78 = 3,099.96/x
  3. Step 3: Cross multiply
    8,646.75x = 12,972.78 × 3,099.96
  4. Step 4: Simplify right side
    8,646.75x = 40,215,099.09
  5. Step 5: Solve for x
    x = 40,215,099.09/8,646.75
  6. Step 6: Final answer
    x = 4,650.89

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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.