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Finding the Fourth Proportional to 19,919.81, 29,876.82 and 5,879.15

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Solution

The fourth proportional to 19,919.81, 29,876.82 and 5,879.15 is: 8,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,919.81 : 29,876.82 = 5,879.15 : x
  2. Step 2: Convert to fraction form
    19,919.81/29,876.82 = 5,879.15/x
  3. Step 3: Cross multiply
    19,919.81x = 29,876.82 × 5,879.15
  4. Step 4: Simplify right side
    19,919.81x = 175,650,306.30
  5. Step 5: Solve for x
    x = 175,650,306.30/19,919.81
  6. Step 6: Final answer
    x = 8,817.87

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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.