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Finding the Fourth Proportional to 3,478.31, 5,217.60 and 881.32

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Solution

The fourth proportional to 3,478.31, 5,217.60 and 881.32 is: 1,322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.31 : 5,217.60 = 881.32 : x
  2. Step 2: Convert to fraction form
    3,478.31/5,217.60 = 881.32/x
  3. Step 3: Cross multiply
    3,478.31x = 5,217.60 × 881.32
  4. Step 4: Simplify right side
    3,478.31x = 4,598,375.23
  5. Step 5: Solve for x
    x = 4,598,375.23/3,478.31
  6. Step 6: Final answer
    x = 1,322.01

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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.