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Finding the Fourth Proportional to 3,944.03, 5,915.35 and 1,478.34

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Solution

The fourth proportional to 3,944.03, 5,915.35 and 1,478.34 is: 2,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.03 : 5,915.35 = 1,478.34 : x
  2. Step 2: Convert to fraction form
    3,944.03/5,915.35 = 1,478.34/x
  3. Step 3: Cross multiply
    3,944.03x = 5,915.35 × 1,478.34
  4. Step 4: Simplify right side
    3,944.03x = 8,744,894.82
  5. Step 5: Solve for x
    x = 8,744,894.82/3,944.03
  6. Step 6: Final answer
    x = 2,217.25

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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.