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Finding the Fourth Proportional to 3,951.61, 5,928.28 and 2,102.46

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Solution

The fourth proportional to 3,951.61, 5,928.28 and 2,102.46 is: 3,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.61 : 5,928.28 = 2,102.46 : x
  2. Step 2: Convert to fraction form
    3,951.61/5,928.28 = 2,102.46/x
  3. Step 3: Cross multiply
    3,951.61x = 5,928.28 × 2,102.46
  4. Step 4: Simplify right side
    3,951.61x = 12,463,961.06
  5. Step 5: Solve for x
    x = 12,463,961.06/3,951.61
  6. Step 6: Final answer
    x = 3,154.15

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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.