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Finding the Fourth Proportional to 54,838, 82,257.45 and 13,285

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Solution

The fourth proportional to 54,838, 82,257.45 and 13,285 is: 19,927.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,838 : 82,257.45 = 13,285 : x
  2. Step 2: Convert to fraction form
    54,838/82,257.45 = 13,285/x
  3. Step 3: Cross multiply
    54,838x = 82,257.45 × 13,285
  4. Step 4: Simplify right side
    54,838x = 1,092,790,223.25
  5. Step 5: Solve for x
    x = 1,092,790,223.25/54,838
  6. Step 6: Final answer
    x = 19,927.61

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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.