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Finding the Fourth Proportional to 8,612.75, 12,921.29 and 2,456.75

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Solution

The fourth proportional to 8,612.75, 12,921.29 and 2,456.75 is: 3,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,612.75 : 12,921.29 = 2,456.75 : x
  2. Step 2: Convert to fraction form
    8,612.75/12,921.29 = 2,456.75/x
  3. Step 3: Cross multiply
    8,612.75x = 12,921.29 × 2,456.75
  4. Step 4: Simplify right side
    8,612.75x = 31,744,379.21
  5. Step 5: Solve for x
    x = 31,744,379.21/8,612.75
  6. Step 6: Final answer
    x = 3,685.74

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1.5x scale

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.