Home / 31,498-47,247.18-8,122.84

Finding the Fourth Proportional to 31,498, 47,247.18 and 8,122.84

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Solution

The fourth proportional to 31,498, 47,247.18 and 8,122.84 is: 12,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498 : 47,247.18 = 8,122.84 : x
  2. Step 2: Convert to fraction form
    31,498/47,247.18 = 8,122.84/x
  3. Step 3: Cross multiply
    31,498x = 47,247.18 × 8,122.84
  4. Step 4: Simplify right side
    31,498x = 383,781,283.59
  5. Step 5: Solve for x
    x = 383,781,283.59/31,498
  6. Step 6: Final answer
    x = 12,184.31

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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.