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Finding the Fourth Proportional to 21,087.80, 31,644.84 and 7,938.44

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Solution

The fourth proportional to 21,087.80, 31,644.84 and 7,938.44 is: 11,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,087.80 : 31,644.84 = 7,938.44 : x
  2. Step 2: Convert to fraction form
    21,087.80/31,644.84 = 7,938.44/x
  3. Step 3: Cross multiply
    21,087.80x = 31,644.84 × 7,938.44
  4. Step 4: Simplify right side
    21,087.80x = 251,210,663.65
  5. Step 5: Solve for x
    x = 251,210,663.65/21,087.80
  6. Step 6: Final answer
    x = 11,912.61

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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.