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Finding the Fourth Proportional to 54,818, 82,240 and 17,882

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Solution

The fourth proportional to 54,818, 82,240 and 17,882 is: 26,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,818 : 82,240 = 17,882 : x
  2. Step 2: Convert to fraction form
    54,818/82,240 = 17,882/x
  3. Step 3: Cross multiply
    54,818x = 82,240 × 17,882
  4. Step 4: Simplify right side
    54,818x = 1,470,615,680
  5. Step 5: Solve for x
    x = 1,470,615,680/54,818
  6. Step 6: Final answer
    x = 26,827.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.