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Finding the Fourth Proportional to 21,402.98, 32,109.93 and 8,251.82

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Solution

The fourth proportional to 21,402.98, 32,109.93 and 8,251.82 is: 12,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.98 : 32,109.93 = 8,251.82 : x
  2. Step 2: Convert to fraction form
    21,402.98/32,109.93 = 8,251.82/x
  3. Step 3: Cross multiply
    21,402.98x = 32,109.93 × 8,251.82
  4. Step 4: Simplify right side
    21,402.98x = 264,965,202.02
  5. Step 5: Solve for x
    x = 264,965,202.02/21,402.98
  6. Step 6: Final answer
    x = 12,379.83

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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.