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Finding the Fourth Proportional to 54,816, 82,237 and 17,880

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Solution

The fourth proportional to 54,816, 82,237 and 17,880 is: 26,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,816 : 82,237 = 17,880 : x
  2. Step 2: Convert to fraction form
    54,816/82,237 = 17,880/x
  3. Step 3: Cross multiply
    54,816x = 82,237 × 17,880
  4. Step 4: Simplify right side
    54,816x = 1,470,397,560
  5. Step 5: Solve for x
    x = 1,470,397,560/54,816
  6. Step 6: Final answer
    x = 26,824.24

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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.