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Finding the Fourth Proportional to 3,902.76, 5,385.90 and 2,134.50

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Solution

The fourth proportional to 3,902.76, 5,385.90 and 2,134.50 is: 2,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.76 : 5,385.90 = 2,134.50 : x
  2. Step 2: Convert to fraction form
    3,902.76/5,385.90 = 2,134.50/x
  3. Step 3: Cross multiply
    3,902.76x = 5,385.90 × 2,134.50
  4. Step 4: Simplify right side
    3,902.76x = 11,496,203.55
  5. Step 5: Solve for x
    x = 11,496,203.55/3,902.76
  6. Step 6: Final answer
    x = 2,945.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.