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Finding the Fourth Proportional to 8,682, 13,040.49 and 5,178.86

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Solution

The fourth proportional to 8,682, 13,040.49 and 5,178.86 is: 7,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682 : 13,040.49 = 5,178.86 : x
  2. Step 2: Convert to fraction form
    8,682/13,040.49 = 5,178.86/x
  3. Step 3: Cross multiply
    8,682x = 13,040.49 × 5,178.86
  4. Step 4: Simplify right side
    8,682x = 67,534,806.84
  5. Step 5: Solve for x
    x = 67,534,806.84/8,682
  6. Step 6: Final answer
    x = 7,778.72

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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.