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Finding the Fourth Proportional to 8,203.20, 12,304.80 and 3,821.10

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Solution

The fourth proportional to 8,203.20, 12,304.80 and 3,821.10 is: 5,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.20 : 12,304.80 = 3,821.10 : x
  2. Step 2: Convert to fraction form
    8,203.20/12,304.80 = 3,821.10/x
  3. Step 3: Cross multiply
    8,203.20x = 12,304.80 × 3,821.10
  4. Step 4: Simplify right side
    8,203.20x = 47,017,871.28
  5. Step 5: Solve for x
    x = 47,017,871.28/8,203.20
  6. Step 6: Final answer
    x = 5,731.65

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Similar ratio
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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.