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Finding the Fourth Proportional to 21,449.44, 32,167.68 and 12,682

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Solution

The fourth proportional to 21,449.44, 32,167.68 and 12,682 is: 19,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,449.44 : 32,167.68 = 12,682 : x
  2. Step 2: Convert to fraction form
    21,449.44/32,167.68 = 12,682/x
  3. Step 3: Cross multiply
    21,449.44x = 32,167.68 × 12,682
  4. Step 4: Simplify right side
    21,449.44x = 407,950,517.76
  5. Step 5: Solve for x
    x = 407,950,517.76/21,449.44
  6. Step 6: Final answer
    x = 19,019.17

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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.