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Finding the Fourth Proportional to 8,193.20, 12,289.80 and 8,116.40

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Solution

The fourth proportional to 8,193.20, 12,289.80 and 8,116.40 is: 12,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.20 : 12,289.80 = 8,116.40 : x
  2. Step 2: Convert to fraction form
    8,193.20/12,289.80 = 8,116.40/x
  3. Step 3: Cross multiply
    8,193.20x = 12,289.80 × 8,116.40
  4. Step 4: Simplify right side
    8,193.20x = 99,748,932.72
  5. Step 5: Solve for x
    x = 99,748,932.72/8,193.20
  6. Step 6: Final answer
    x = 12,174.60

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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.