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Finding the Fourth Proportional to 3,478.87, 5,218.32 and 881.81

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Solution

The fourth proportional to 3,478.87, 5,218.32 and 881.81 is: 1,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.87 : 5,218.32 = 881.81 : x
  2. Step 2: Convert to fraction form
    3,478.87/5,218.32 = 881.81/x
  3. Step 3: Cross multiply
    3,478.87x = 5,218.32 × 881.81
  4. Step 4: Simplify right side
    3,478.87x = 4,601,540.67
  5. Step 5: Solve for x
    x = 4,601,540.67/3,478.87
  6. Step 6: Final answer
    x = 1,322.71

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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.