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Finding the Fourth Proportional to 19,781.96, 29,676.54 and 9,928.04

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Solution

The fourth proportional to 19,781.96, 29,676.54 and 9,928.04 is: 14,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.96 : 29,676.54 = 9,928.04 : x
  2. Step 2: Convert to fraction form
    19,781.96/29,676.54 = 9,928.04/x
  3. Step 3: Cross multiply
    19,781.96x = 29,676.54 × 9,928.04
  4. Step 4: Simplify right side
    19,781.96x = 294,629,876.18
  5. Step 5: Solve for x
    x = 294,629,876.18/19,781.96
  6. Step 6: Final answer
    x = 14,893.87

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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.