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Finding the Fourth Proportional to 31,823.62, 47,735.42 and 8,131.21

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Solution

The fourth proportional to 31,823.62, 47,735.42 and 8,131.21 is: 12,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,823.62 : 47,735.42 = 8,131.21 : x
  2. Step 2: Convert to fraction form
    31,823.62/47,735.42 = 8,131.21/x
  3. Step 3: Cross multiply
    31,823.62x = 47,735.42 × 8,131.21
  4. Step 4: Simplify right side
    31,823.62x = 388,146,724.46
  5. Step 5: Solve for x
    x = 388,146,724.46/31,823.62
  6. Step 6: Final answer
    x = 12,196.81

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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.