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Finding the Fourth Proportional to 21,269.76, 31,893.92 and 12,387.92

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Solution

The fourth proportional to 21,269.76, 31,893.92 and 12,387.92 is: 18,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,269.76 : 31,893.92 = 12,387.92 : x
  2. Step 2: Convert to fraction form
    21,269.76/31,893.92 = 12,387.92/x
  3. Step 3: Cross multiply
    21,269.76x = 31,893.92 × 12,387.92
  4. Step 4: Simplify right side
    21,269.76x = 395,099,329.45
  5. Step 5: Solve for x
    x = 395,099,329.45/21,269.76
  6. Step 6: Final answer
    x = 18,575.64

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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.