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Finding the Fourth Proportional to 21,914.97, 32,870.84 and 8,758.95

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Solution

The fourth proportional to 21,914.97, 32,870.84 and 8,758.95 is: 13,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914.97 : 32,870.84 = 8,758.95 : x
  2. Step 2: Convert to fraction form
    21,914.97/32,870.84 = 8,758.95/x
  3. Step 3: Cross multiply
    21,914.97x = 32,870.84 × 8,758.95
  4. Step 4: Simplify right side
    21,914.97x = 287,914,000.22
  5. Step 5: Solve for x
    x = 287,914,000.22/21,914.97
  6. Step 6: Final answer
    x = 13,137.78

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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.