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Finding the Fourth Proportional to 3,108.44, 4,662.66 and 800.12

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Solution

The fourth proportional to 3,108.44, 4,662.66 and 800.12 is: 1,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.44 : 4,662.66 = 800.12 : x
  2. Step 2: Convert to fraction form
    3,108.44/4,662.66 = 800.12/x
  3. Step 3: Cross multiply
    3,108.44x = 4,662.66 × 800.12
  4. Step 4: Simplify right side
    3,108.44x = 3,730,687.52
  5. Step 5: Solve for x
    x = 3,730,687.52/3,108.44
  6. Step 6: Final answer
    x = 1,200.18

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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.