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Finding the Fourth Proportional to 21,787.88, 32,687.25 and 6,205.50

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Solution

The fourth proportional to 21,787.88, 32,687.25 and 6,205.50 is: 9,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,787.88 : 32,687.25 = 6,205.50 : x
  2. Step 2: Convert to fraction form
    21,787.88/32,687.25 = 6,205.50/x
  3. Step 3: Cross multiply
    21,787.88x = 32,687.25 × 6,205.50
  4. Step 4: Simplify right side
    21,787.88x = 202,840,811.59
  5. Step 5: Solve for x
    x = 202,840,811.59/21,787.88
  6. Step 6: Final answer
    x = 9,309.80

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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.