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Finding the Fourth Proportional to 21,063.86, 31,595.72 and 8,581.11

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Solution

The fourth proportional to 21,063.86, 31,595.72 and 8,581.11 is: 12,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,063.86 : 31,595.72 = 8,581.11 : x
  2. Step 2: Convert to fraction form
    21,063.86/31,595.72 = 8,581.11/x
  3. Step 3: Cross multiply
    21,063.86x = 31,595.72 × 8,581.11
  4. Step 4: Simplify right side
    21,063.86x = 271,126,235.73
  5. Step 5: Solve for x
    x = 271,126,235.73/21,063.86
  6. Step 6: Final answer
    x = 12,871.63

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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.