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Finding the Fourth Proportional to 26,959.50, 37,204.11 and 15,781.50

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Solution

The fourth proportional to 26,959.50, 37,204.11 and 15,781.50 is: 21,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,959.50 : 37,204.11 = 15,781.50 : x
  2. Step 2: Convert to fraction form
    26,959.50/37,204.11 = 15,781.50/x
  3. Step 3: Cross multiply
    26,959.50x = 37,204.11 × 15,781.50
  4. Step 4: Simplify right side
    26,959.50x = 587,136,661.97
  5. Step 5: Solve for x
    x = 587,136,661.97/26,959.50
  6. Step 6: Final answer
    x = 21,778.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.