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Finding the Fourth Proportional to 8,549.20, 12,823.80 and 7,941.70

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Solution

The fourth proportional to 8,549.20, 12,823.80 and 7,941.70 is: 11,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.20 : 12,823.80 = 7,941.70 : x
  2. Step 2: Convert to fraction form
    8,549.20/12,823.80 = 7,941.70/x
  3. Step 3: Cross multiply
    8,549.20x = 12,823.80 × 7,941.70
  4. Step 4: Simplify right side
    8,549.20x = 101,842,772.46
  5. Step 5: Solve for x
    x = 101,842,772.46/8,549.20
  6. Step 6: Final answer
    x = 11,912.55

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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.