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Finding the Fourth Proportional to 13,882.46, 20,822.34 and 7,640.42

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Solution

The fourth proportional to 13,882.46, 20,822.34 and 7,640.42 is: 11,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.46 : 20,822.34 = 7,640.42 : x
  2. Step 2: Convert to fraction form
    13,882.46/20,822.34 = 7,640.42/x
  3. Step 3: Cross multiply
    13,882.46x = 20,822.34 × 7,640.42
  4. Step 4: Simplify right side
    13,882.46x = 159,091,422.98
  5. Step 5: Solve for x
    x = 159,091,422.98/13,882.46
  6. Step 6: Final answer
    x = 11,459.89

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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.