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Finding the Fourth Proportional to 21,687.95, 32,509.77 and 12,308.15

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Solution

The fourth proportional to 21,687.95, 32,509.77 and 12,308.15 is: 18,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687.95 : 32,509.77 = 12,308.15 : x
  2. Step 2: Convert to fraction form
    21,687.95/32,509.77 = 12,308.15/x
  3. Step 3: Cross multiply
    21,687.95x = 32,509.77 × 12,308.15
  4. Step 4: Simplify right side
    21,687.95x = 400,135,229.98
  5. Step 5: Solve for x
    x = 400,135,229.98/21,687.95
  6. Step 6: Final answer
    x = 18,449.65

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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.