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Finding the Fourth Proportional to 26,898, 37,119.24 and 15,122

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Solution

The fourth proportional to 26,898, 37,119.24 and 15,122 is: 20,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,898 : 37,119.24 = 15,122 : x
  2. Step 2: Convert to fraction form
    26,898/37,119.24 = 15,122/x
  3. Step 3: Cross multiply
    26,898x = 37,119.24 × 15,122
  4. Step 4: Simplify right side
    26,898x = 561,317,147.28
  5. Step 5: Solve for x
    x = 561,317,147.28/26,898
  6. Step 6: Final answer
    x = 20,868.36

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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.