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Finding the Fourth Proportional to 3,299.28, 4,552.98 and 1,902

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Solution

The fourth proportional to 3,299.28, 4,552.98 and 1,902 is: 2,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.28 : 4,552.98 = 1,902 : x
  2. Step 2: Convert to fraction form
    3,299.28/4,552.98 = 1,902/x
  3. Step 3: Cross multiply
    3,299.28x = 4,552.98 × 1,902
  4. Step 4: Simplify right side
    3,299.28x = 8,659,767.96
  5. Step 5: Solve for x
    x = 8,659,767.96/3,299.28
  6. Step 6: Final answer
    x = 2,624.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.