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Finding the Fourth Proportional to 8,081.96, 12,116.96 and 3,149.06

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Solution

The fourth proportional to 8,081.96, 12,116.96 and 3,149.06 is: 4,721.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.96 : 12,116.96 = 3,149.06 : x
  2. Step 2: Convert to fraction form
    8,081.96/12,116.96 = 3,149.06/x
  3. Step 3: Cross multiply
    8,081.96x = 12,116.96 × 3,149.06
  4. Step 4: Simplify right side
    8,081.96x = 38,157,034.06
  5. Step 5: Solve for x
    x = 38,157,034.06/8,081.96
  6. Step 6: Final answer
    x = 4,721.26

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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.