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Finding the Fourth Proportional to 8,514.76, 12,761.33 and 3,829.77

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Solution

The fourth proportional to 8,514.76, 12,761.33 and 3,829.77 is: 5,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.76 : 12,761.33 = 3,829.77 : x
  2. Step 2: Convert to fraction form
    8,514.76/12,761.33 = 3,829.77/x
  3. Step 3: Cross multiply
    8,514.76x = 12,761.33 × 3,829.77
  4. Step 4: Simplify right side
    8,514.76x = 48,872,875.84
  5. Step 5: Solve for x
    x = 48,872,875.84/8,514.76
  6. Step 6: Final answer
    x = 5,739.78

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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.