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Finding the Fourth Proportional to 3,876.78, 5,349.86 and 2,262.00

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Solution

The fourth proportional to 3,876.78, 5,349.86 and 2,262.00 is: 3,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.78 : 5,349.86 = 2,262.00 : x
  2. Step 2: Convert to fraction form
    3,876.78/5,349.86 = 2,262.00/x
  3. Step 3: Cross multiply
    3,876.78x = 5,349.86 × 2,262.00
  4. Step 4: Simplify right side
    3,876.78x = 12,101,361.98
  5. Step 5: Solve for x
    x = 12,101,361.98/3,876.78
  6. Step 6: Final answer
    x = 3,121.50

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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.