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Finding the Fourth Proportional to 57,498, 86,247 and 15,945

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Solution

The fourth proportional to 57,498, 86,247 and 15,945 is: 23,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,498 : 86,247 = 15,945 : x
  2. Step 2: Convert to fraction form
    57,498/86,247 = 15,945/x
  3. Step 3: Cross multiply
    57,498x = 86,247 × 15,945
  4. Step 4: Simplify right side
    57,498x = 1,375,208,415
  5. Step 5: Solve for x
    x = 1,375,208,415/57,498
  6. Step 6: Final answer
    x = 23,917.50

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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.