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Finding the Fourth Proportional to 31,393.80, 47,090.70 and 8,019.90

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Solution

The fourth proportional to 31,393.80, 47,090.70 and 8,019.90 is: 12,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,393.80 : 47,090.70 = 8,019.90 : x
  2. Step 2: Convert to fraction form
    31,393.80/47,090.70 = 8,019.90/x
  3. Step 3: Cross multiply
    31,393.80x = 47,090.70 × 8,019.90
  4. Step 4: Simplify right side
    31,393.80x = 377,662,704.93
  5. Step 5: Solve for x
    x = 377,662,704.93/31,393.80
  6. Step 6: Final answer
    x = 12,029.85

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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.