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Finding the Fourth Proportional to 31,785.84, 43,863.84 and 17,638.38

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Solution

The fourth proportional to 31,785.84, 43,863.84 and 17,638.38 is: 24,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.84 : 43,863.84 = 17,638.38 : x
  2. Step 2: Convert to fraction form
    31,785.84/43,863.84 = 17,638.38/x
  3. Step 3: Cross multiply
    31,785.84x = 43,863.84 × 17,638.38
  4. Step 4: Simplify right side
    31,785.84x = 773,687,078.18
  5. Step 5: Solve for x
    x = 773,687,078.18/31,785.84
  6. Step 6: Final answer
    x = 24,340.62

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1.5x scale

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.