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Finding the Fourth Proportional to 8,608, 12,914.16 and 2,452

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Solution

The fourth proportional to 8,608, 12,914.16 and 2,452 is: 3,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,608 : 12,914.16 = 2,452 : x
  2. Step 2: Convert to fraction form
    8,608/12,914.16 = 2,452/x
  3. Step 3: Cross multiply
    8,608x = 12,914.16 × 2,452
  4. Step 4: Simplify right side
    8,608x = 31,665,520.32
  5. Step 5: Solve for x
    x = 31,665,520.32/8,608
  6. Step 6: Final answer
    x = 3,678.62

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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.