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Finding the Fourth Proportional to 31,146.50, 46,722.54 and 12,422

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Solution

The fourth proportional to 31,146.50, 46,722.54 and 12,422 is: 18,634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,146.50 : 46,722.54 = 12,422 : x
  2. Step 2: Convert to fraction form
    31,146.50/46,722.54 = 12,422/x
  3. Step 3: Cross multiply
    31,146.50x = 46,722.54 × 12,422
  4. Step 4: Simplify right side
    31,146.50x = 580,387,391.88
  5. Step 5: Solve for x
    x = 580,387,391.88/31,146.50
  6. Step 6: Final answer
    x = 18,634.11

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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.