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Finding the Fourth Proportional to 8,132.77, 12,202.80 and 3,747.88

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Solution

The fourth proportional to 8,132.77, 12,202.80 and 3,747.88 is: 5,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.77 : 12,202.80 = 3,747.88 : x
  2. Step 2: Convert to fraction form
    8,132.77/12,202.80 = 3,747.88/x
  3. Step 3: Cross multiply
    8,132.77x = 12,202.80 × 3,747.88
  4. Step 4: Simplify right side
    8,132.77x = 45,734,630.06
  5. Step 5: Solve for x
    x = 45,734,630.06/8,132.77
  6. Step 6: Final answer
    x = 5,623.50

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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.