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Finding the Fourth Proportional to 26,614.78, 39,900.50 and 9,965.48

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Solution

The fourth proportional to 26,614.78, 39,900.50 and 9,965.48 is: 14,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,614.78 : 39,900.50 = 9,965.48 : x
  2. Step 2: Convert to fraction form
    26,614.78/39,900.50 = 9,965.48/x
  3. Step 3: Cross multiply
    26,614.78x = 39,900.50 × 9,965.48
  4. Step 4: Simplify right side
    26,614.78x = 397,627,634.74
  5. Step 5: Solve for x
    x = 397,627,634.74/26,614.78
  6. Step 6: Final answer
    x = 14,940.11

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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.