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Finding the Fourth Proportional to 26,919, 37,148.22 and 15,741

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Solution

The fourth proportional to 26,919, 37,148.22 and 15,741 is: 21,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,919 : 37,148.22 = 15,741 : x
  2. Step 2: Convert to fraction form
    26,919/37,148.22 = 15,741/x
  3. Step 3: Cross multiply
    26,919x = 37,148.22 × 15,741
  4. Step 4: Simplify right side
    26,919x = 584,750,131.02
  5. Step 5: Solve for x
    x = 584,750,131.02/26,919
  6. Step 6: Final answer
    x = 21,722.58

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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.