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Finding the Fourth Proportional to 27,978.62, 41,985.20 and 11,338.79

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Solution

The fourth proportional to 27,978.62, 41,985.20 and 11,338.79 is: 17,015.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.62 : 41,985.20 = 11,338.79 : x
  2. Step 2: Convert to fraction form
    27,978.62/41,985.20 = 11,338.79/x
  3. Step 3: Cross multiply
    27,978.62x = 41,985.20 × 11,338.79
  4. Step 4: Simplify right side
    27,978.62x = 476,061,184.33
  5. Step 5: Solve for x
    x = 476,061,184.33/27,978.62
  6. Step 6: Final answer
    x = 17,015.18

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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.