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Finding the Fourth Proportional to 21,906.84, 32,871.30 and 8,763

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Solution

The fourth proportional to 21,906.84, 32,871.30 and 8,763 is: 13,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.84 : 32,871.30 = 8,763 : x
  2. Step 2: Convert to fraction form
    21,906.84/32,871.30 = 8,763/x
  3. Step 3: Cross multiply
    21,906.84x = 32,871.30 × 8,763
  4. Step 4: Simplify right side
    21,906.84x = 288,051,201.90
  5. Step 5: Solve for x
    x = 288,051,201.90/21,906.84
  6. Step 6: Final answer
    x = 13,148.92

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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.