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Finding the Fourth Proportional to 8,679.78, 13,019.70 and 2,105.96

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Solution

The fourth proportional to 8,679.78, 13,019.70 and 2,105.96 is: 3,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,679.78 : 13,019.70 = 2,105.96 : x
  2. Step 2: Convert to fraction form
    8,679.78/13,019.70 = 2,105.96/x
  3. Step 3: Cross multiply
    8,679.78x = 13,019.70 × 2,105.96
  4. Step 4: Simplify right side
    8,679.78x = 27,418,967.41
  5. Step 5: Solve for x
    x = 27,418,967.41/8,679.78
  6. Step 6: Final answer
    x = 3,158.95

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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.