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Finding the Fourth Proportional to 10,978, 16,467 and 3,186.88

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Solution

The fourth proportional to 10,978, 16,467 and 3,186.88 is: 4,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978 : 16,467 = 3,186.88 : x
  2. Step 2: Convert to fraction form
    10,978/16,467 = 3,186.88/x
  3. Step 3: Cross multiply
    10,978x = 16,467 × 3,186.88
  4. Step 4: Simplify right side
    10,978x = 52,478,352.96
  5. Step 5: Solve for x
    x = 52,478,352.96/10,978
  6. Step 6: Final answer
    x = 4,780.32

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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.