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Finding the Fourth Proportional to 19,920.98, 29,876.49 and 5,878.22

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Solution

The fourth proportional to 19,920.98, 29,876.49 and 5,878.22 is: 8,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920.98 : 29,876.49 = 5,878.22 : x
  2. Step 2: Convert to fraction form
    19,920.98/29,876.49 = 5,878.22/x
  3. Step 3: Cross multiply
    19,920.98x = 29,876.49 × 5,878.22
  4. Step 4: Simplify right side
    19,920.98x = 175,620,581.05
  5. Step 5: Solve for x
    x = 175,620,581.05/19,920.98
  6. Step 6: Final answer
    x = 8,815.86

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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.