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Finding the Fourth Proportional to 3,478, 5,217.04 and 880.94

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Solution

The fourth proportional to 3,478, 5,217.04 and 880.94 is: 1,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478 : 5,217.04 = 880.94 : x
  2. Step 2: Convert to fraction form
    3,478/5,217.04 = 880.94/x
  3. Step 3: Cross multiply
    3,478x = 5,217.04 × 880.94
  4. Step 4: Simplify right side
    3,478x = 4,595,899.22
  5. Step 5: Solve for x
    x = 4,595,899.22/3,478
  6. Step 6: Final answer
    x = 1,321.42

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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.