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Finding the Fourth Proportional to 21,671.88, 32,494.20 and 8,508.96

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Solution

The fourth proportional to 21,671.88, 32,494.20 and 8,508.96 is: 12,758.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.88 : 32,494.20 = 8,508.96 : x
  2. Step 2: Convert to fraction form
    21,671.88/32,494.20 = 8,508.96/x
  3. Step 3: Cross multiply
    21,671.88x = 32,494.20 × 8,508.96
  4. Step 4: Simplify right side
    21,671.88x = 276,491,848.03
  5. Step 5: Solve for x
    x = 276,491,848.03/21,671.88
  6. Step 6: Final answer
    x = 12,758.09

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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.