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Finding the Fourth Proportional to 26,618.64, 39,921.13 and 7,894.30

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Solution

The fourth proportional to 26,618.64, 39,921.13 and 7,894.30 is: 11,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,618.64 : 39,921.13 = 7,894.30 : x
  2. Step 2: Convert to fraction form
    26,618.64/39,921.13 = 7,894.30/x
  3. Step 3: Cross multiply
    26,618.64x = 39,921.13 × 7,894.30
  4. Step 4: Simplify right side
    26,618.64x = 315,149,376.56
  5. Step 5: Solve for x
    x = 315,149,376.56/26,618.64
  6. Step 6: Final answer
    x = 11,839.42

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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.