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Finding the Fourth Proportional to 3,951.52, 5,931.12 and 1,900.96

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Solution

The fourth proportional to 3,951.52, 5,931.12 and 1,900.96 is: 2,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.52 : 5,931.12 = 1,900.96 : x
  2. Step 2: Convert to fraction form
    3,951.52/5,931.12 = 1,900.96/x
  3. Step 3: Cross multiply
    3,951.52x = 5,931.12 × 1,900.96
  4. Step 4: Simplify right side
    3,951.52x = 11,274,821.88
  5. Step 5: Solve for x
    x = 11,274,821.88/3,951.52
  6. Step 6: Final answer
    x = 2,853.29

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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.