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Finding the Fourth Proportional to 3,478.44, 5,217.64 and 881.37

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Solution

The fourth proportional to 3,478.44, 5,217.64 and 881.37 is: 1,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.44 : 5,217.64 = 881.37 : x
  2. Step 2: Convert to fraction form
    3,478.44/5,217.64 = 881.37/x
  3. Step 3: Cross multiply
    3,478.44x = 5,217.64 × 881.37
  4. Step 4: Simplify right side
    3,478.44x = 4,598,671.37
  5. Step 5: Solve for x
    x = 4,598,671.37/3,478.44
  6. Step 6: Final answer
    x = 1,322.05

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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.