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Finding the Fourth Proportional to 27,697.92, 41,549.04 and 7,978.02

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Solution

The fourth proportional to 27,697.92, 41,549.04 and 7,978.02 is: 11,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.92 : 41,549.04 = 7,978.02 : x
  2. Step 2: Convert to fraction form
    27,697.92/41,549.04 = 7,978.02/x
  3. Step 3: Cross multiply
    27,697.92x = 41,549.04 × 7,978.02
  4. Step 4: Simplify right side
    27,697.92x = 331,479,072.10
  5. Step 5: Solve for x
    x = 331,479,072.10/27,697.92
  6. Step 6: Final answer
    x = 11,967.65

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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.