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Finding the Fourth Proportional to 31,863.38, 47,794.91 and 8,170.82

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Solution

The fourth proportional to 31,863.38, 47,794.91 and 8,170.82 is: 12,256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.38 : 47,794.91 = 8,170.82 : x
  2. Step 2: Convert to fraction form
    31,863.38/47,794.91 = 8,170.82/x
  3. Step 3: Cross multiply
    31,863.38x = 47,794.91 × 8,170.82
  4. Step 4: Simplify right side
    31,863.38x = 390,523,606.53
  5. Step 5: Solve for x
    x = 390,523,606.53/31,863.38
  6. Step 6: Final answer
    x = 12,256.19

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1.5x scale

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.