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Finding the Fourth Proportional to 8,761.78, 13,135.30 and 3,827.66

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Solution

The fourth proportional to 8,761.78, 13,135.30 and 3,827.66 is: 5,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.78 : 13,135.30 = 3,827.66 : x
  2. Step 2: Convert to fraction form
    8,761.78/13,135.30 = 3,827.66/x
  3. Step 3: Cross multiply
    8,761.78x = 13,135.30 × 3,827.66
  4. Step 4: Simplify right side
    8,761.78x = 50,277,462.40
  5. Step 5: Solve for x
    x = 50,277,462.40/8,761.78
  6. Step 6: Final answer
    x = 5,738.27

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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.