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Finding the Fourth Proportional to 31,877.80, 47,816.70 and 8,506.60

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Solution

The fourth proportional to 31,877.80, 47,816.70 and 8,506.60 is: 12,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,877.80 : 47,816.70 = 8,506.60 : x
  2. Step 2: Convert to fraction form
    31,877.80/47,816.70 = 8,506.60/x
  3. Step 3: Cross multiply
    31,877.80x = 47,816.70 × 8,506.60
  4. Step 4: Simplify right side
    31,877.80x = 406,757,540.22
  5. Step 5: Solve for x
    x = 406,757,540.22/31,877.80
  6. Step 6: Final answer
    x = 12,759.90

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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.