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Finding the Fourth Proportional to 20,167.82, 30,264.84 and 7,687.95

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Solution

The fourth proportional to 20,167.82, 30,264.84 and 7,687.95 is: 11,536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.82 : 30,264.84 = 7,687.95 : x
  2. Step 2: Convert to fraction form
    20,167.82/30,264.84 = 7,687.95/x
  3. Step 3: Cross multiply
    20,167.82x = 30,264.84 × 7,687.95
  4. Step 4: Simplify right side
    20,167.82x = 232,674,463.18
  5. Step 5: Solve for x
    x = 232,674,463.18/20,167.82
  6. Step 6: Final answer
    x = 11,536.92

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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.