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Finding the Fourth Proportional to 21,914, 30,241.80 and 11,978

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Solution

The fourth proportional to 21,914, 30,241.80 and 11,978 is: 16,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914 : 30,241.80 = 11,978 : x
  2. Step 2: Convert to fraction form
    21,914/30,241.80 = 11,978/x
  3. Step 3: Cross multiply
    21,914x = 30,241.80 × 11,978
  4. Step 4: Simplify right side
    21,914x = 362,236,280.40
  5. Step 5: Solve for x
    x = 362,236,280.40/21,914
  6. Step 6: Final answer
    x = 16,529.90

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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.