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Finding the Fourth Proportional to 31,682.77, 43,715.23 and 18,934.04

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Solution

The fourth proportional to 31,682.77, 43,715.23 and 18,934.04 is: 26,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682.77 : 43,715.23 = 18,934.04 : x
  2. Step 2: Convert to fraction form
    31,682.77/43,715.23 = 18,934.04/x
  3. Step 3: Cross multiply
    31,682.77x = 43,715.23 × 18,934.04
  4. Step 4: Simplify right side
    31,682.77x = 827,705,975.38
  5. Step 5: Solve for x
    x = 827,705,975.38/31,682.77
  6. Step 6: Final answer
    x = 26,124.80

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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.