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Finding the Fourth Proportional to 8,127.90, 12,191.82 and 1,971.90

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Solution

The fourth proportional to 8,127.90, 12,191.82 and 1,971.90 is: 2,957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.90 : 12,191.82 = 1,971.90 : x
  2. Step 2: Convert to fraction form
    8,127.90/12,191.82 = 1,971.90/x
  3. Step 3: Cross multiply
    8,127.90x = 12,191.82 × 1,971.90
  4. Step 4: Simplify right side
    8,127.90x = 24,041,049.86
  5. Step 5: Solve for x
    x = 24,041,049.86/8,127.90
  6. Step 6: Final answer
    x = 2,957.84

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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.