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Finding the Fourth Proportional to 20,581.40, 30,880.20 and 8,099.30

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Solution

The fourth proportional to 20,581.40, 30,880.20 and 8,099.30 is: 12,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,581.40 : 30,880.20 = 8,099.30 : x
  2. Step 2: Convert to fraction form
    20,581.40/30,880.20 = 8,099.30/x
  3. Step 3: Cross multiply
    20,581.40x = 30,880.20 × 8,099.30
  4. Step 4: Simplify right side
    20,581.40x = 250,108,003.86
  5. Step 5: Solve for x
    x = 250,108,003.86/20,581.40
  6. Step 6: Final answer
    x = 12,152.14

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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.