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Finding the Fourth Proportional to 19,878.80, 29,821.80 and 9,993.20

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Solution

The fourth proportional to 19,878.80, 29,821.80 and 9,993.20 is: 14,991.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.80 : 29,821.80 = 9,993.20 : x
  2. Step 2: Convert to fraction form
    19,878.80/29,821.80 = 9,993.20/x
  3. Step 3: Cross multiply
    19,878.80x = 29,821.80 × 9,993.20
  4. Step 4: Simplify right side
    19,878.80x = 298,015,211.76
  5. Step 5: Solve for x
    x = 298,015,211.76/19,878.80
  6. Step 6: Final answer
    x = 14,991.61

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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.