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Finding the Fourth Proportional to 21,288, 31,960.26 and 18,187.92

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Solution

The fourth proportional to 21,288, 31,960.26 and 18,187.92 is: 27,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,288 : 31,960.26 = 18,187.92 : x
  2. Step 2: Convert to fraction form
    21,288/31,960.26 = 18,187.92/x
  3. Step 3: Cross multiply
    21,288x = 31,960.26 × 18,187.92
  4. Step 4: Simplify right side
    21,288x = 581,290,652.06
  5. Step 5: Solve for x
    x = 581,290,652.06/21,288
  6. Step 6: Final answer
    x = 27,306.02

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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.