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Finding the Fourth Proportional to 20,543.80, 30,803.82 and 8,049.22

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Solution

The fourth proportional to 20,543.80, 30,803.82 and 8,049.22 is: 12,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,543.80 : 30,803.82 = 8,049.22 : x
  2. Step 2: Convert to fraction form
    20,543.80/30,803.82 = 8,049.22/x
  3. Step 3: Cross multiply
    20,543.80x = 30,803.82 × 8,049.22
  4. Step 4: Simplify right side
    20,543.80x = 247,946,724.02
  5. Step 5: Solve for x
    x = 247,946,724.02/20,543.80
  6. Step 6: Final answer
    x = 12,069.18

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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.