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Finding the Fourth Proportional to 21,754.46, 32,644.65 and 7,904.54

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Solution

The fourth proportional to 21,754.46, 32,644.65 and 7,904.54 is: 11,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,754.46 : 32,644.65 = 7,904.54 : x
  2. Step 2: Convert to fraction form
    21,754.46/32,644.65 = 7,904.54/x
  3. Step 3: Cross multiply
    21,754.46x = 32,644.65 × 7,904.54
  4. Step 4: Simplify right side
    21,754.46x = 258,040,778.49
  5. Step 5: Solve for x
    x = 258,040,778.49/21,754.46
  6. Step 6: Final answer
    x = 11,861.51

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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.