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Finding the Fourth Proportional to 54,586, 81,891.96 and 17,650

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Solution

The fourth proportional to 54,586, 81,891.96 and 17,650 is: 26,479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,586 : 81,891.96 = 17,650 : x
  2. Step 2: Convert to fraction form
    54,586/81,891.96 = 17,650/x
  3. Step 3: Cross multiply
    54,586x = 81,891.96 × 17,650
  4. Step 4: Simplify right side
    54,586x = 1,445,393,094
  5. Step 5: Solve for x
    x = 1,445,393,094/54,586
  6. Step 6: Final answer
    x = 26,479.19

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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.