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Finding the Fourth Proportional to 54,840, 82,260.45 and 13,287

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Solution

The fourth proportional to 54,840, 82,260.45 and 13,287 is: 19,930.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,840 : 82,260.45 = 13,287 : x
  2. Step 2: Convert to fraction form
    54,840/82,260.45 = 13,287/x
  3. Step 3: Cross multiply
    54,840x = 82,260.45 × 13,287
  4. Step 4: Simplify right side
    54,840x = 1,092,994,599.15
  5. Step 5: Solve for x
    x = 1,092,994,599.15/54,840
  6. Step 6: Final answer
    x = 19,930.61

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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.