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Finding the Fourth Proportional to 10,990.92, 16,489.20 and 3,199.74

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Solution

The fourth proportional to 10,990.92, 16,489.20 and 3,199.74 is: 4,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990.92 : 16,489.20 = 3,199.74 : x
  2. Step 2: Convert to fraction form
    10,990.92/16,489.20 = 3,199.74/x
  3. Step 3: Cross multiply
    10,990.92x = 16,489.20 × 3,199.74
  4. Step 4: Simplify right side
    10,990.92x = 52,761,152.81
  5. Step 5: Solve for x
    x = 52,761,152.81/10,990.92
  6. Step 6: Final answer
    x = 4,800.43

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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.