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Finding the Fourth Proportional to 31,284, 43,175.52 and 17,857.17

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Solution

The fourth proportional to 31,284, 43,175.52 and 17,857.17 is: 24,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,284 : 43,175.52 = 17,857.17 : x
  2. Step 2: Convert to fraction form
    31,284/43,175.52 = 17,857.17/x
  3. Step 3: Cross multiply
    31,284x = 43,175.52 × 17,857.17
  4. Step 4: Simplify right side
    31,284x = 770,992,600.48
  5. Step 5: Solve for x
    x = 770,992,600.48/31,284
  6. Step 6: Final answer
    x = 24,644.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.