Home / 31,380-47,082.81-16,584.96

Finding the Fourth Proportional to 31,380, 47,082.81 and 16,584.96

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Solution

The fourth proportional to 31,380, 47,082.81 and 16,584.96 is: 24,884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,380 : 47,082.81 = 16,584.96 : x
  2. Step 2: Convert to fraction form
    31,380/47,082.81 = 16,584.96/x
  3. Step 3: Cross multiply
    31,380x = 47,082.81 × 16,584.96
  4. Step 4: Simplify right side
    31,380x = 780,866,520.54
  5. Step 5: Solve for x
    x = 780,866,520.54/31,380
  6. Step 6: Final answer
    x = 24,884.21

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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.