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Finding the Fourth Proportional to 8,449.75, 12,680.39 and 2,977.75

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Solution

The fourth proportional to 8,449.75, 12,680.39 and 2,977.75 is: 4,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.75 : 12,680.39 = 2,977.75 : x
  2. Step 2: Convert to fraction form
    8,449.75/12,680.39 = 2,977.75/x
  3. Step 3: Cross multiply
    8,449.75x = 12,680.39 × 2,977.75
  4. Step 4: Simplify right side
    8,449.75x = 37,759,031.32
  5. Step 5: Solve for x
    x = 37,759,031.32/8,449.75
  6. Step 6: Final answer
    x = 4,468.66

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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.