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Finding the Fourth Proportional to 31,584.84, 47,371.56 and 8,209.84

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Solution

The fourth proportional to 31,584.84, 47,371.56 and 8,209.84 is: 12,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,584.84 : 47,371.56 = 8,209.84 : x
  2. Step 2: Convert to fraction form
    31,584.84/47,371.56 = 8,209.84/x
  3. Step 3: Cross multiply
    31,584.84x = 47,371.56 × 8,209.84
  4. Step 4: Simplify right side
    31,584.84x = 388,912,928.15
  5. Step 5: Solve for x
    x = 388,912,928.15/31,584.84
  6. Step 6: Final answer
    x = 12,313.28

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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.