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Finding the Fourth Proportional to 11,186.75, 16,780.13 and 2,978.75

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Solution

The fourth proportional to 11,186.75, 16,780.13 and 2,978.75 is: 4,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.75 : 16,780.13 = 2,978.75 : x
  2. Step 2: Convert to fraction form
    11,186.75/16,780.13 = 2,978.75/x
  3. Step 3: Cross multiply
    11,186.75x = 16,780.13 × 2,978.75
  4. Step 4: Simplify right side
    11,186.75x = 49,983,812.24
  5. Step 5: Solve for x
    x = 49,983,812.24/11,186.75
  6. Step 6: Final answer
    x = 4,468.13

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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.