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Finding the Fourth Proportional to 54,584, 81,876 and 17,648

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Solution

The fourth proportional to 54,584, 81,876 and 17,648 is: 26,472

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,584 : 81,876 = 17,648 : x
  2. Step 2: Convert to fraction form
    54,584/81,876 = 17,648/x
  3. Step 3: Cross multiply
    54,584x = 81,876 × 17,648
  4. Step 4: Simplify right side
    54,584x = 1,444,947,648
  5. Step 5: Solve for x
    x = 1,444,947,648/54,584
  6. Step 6: Final answer
    x = 26,472

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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.