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Finding the Fourth Proportional to 21,429.80, 32,149.80 and 8,942.89

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Solution

The fourth proportional to 21,429.80, 32,149.80 and 8,942.89 is: 13,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,429.80 : 32,149.80 = 8,942.89 : x
  2. Step 2: Convert to fraction form
    21,429.80/32,149.80 = 8,942.89/x
  3. Step 3: Cross multiply
    21,429.80x = 32,149.80 × 8,942.89
  4. Step 4: Simplify right side
    21,429.80x = 287,512,124.92
  5. Step 5: Solve for x
    x = 287,512,124.92/21,429.80
  6. Step 6: Final answer
    x = 13,416.46

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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.