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Finding the Fourth Proportional to 21,978, 30,331.80 and 12,546.72

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Solution

The fourth proportional to 21,978, 30,331.80 and 12,546.72 is: 17,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978 : 30,331.80 = 12,546.72 : x
  2. Step 2: Convert to fraction form
    21,978/30,331.80 = 12,546.72/x
  3. Step 3: Cross multiply
    21,978x = 30,331.80 × 12,546.72
  4. Step 4: Simplify right side
    21,978x = 380,564,601.70
  5. Step 5: Solve for x
    x = 380,564,601.70/21,978
  6. Step 6: Final answer
    x = 17,315.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.