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Finding the Fourth Proportional to 19,874.12, 29,824.88 and 8,187.36

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Solution

The fourth proportional to 19,874.12, 29,824.88 and 8,187.36 is: 12,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.12 : 29,824.88 = 8,187.36 : x
  2. Step 2: Convert to fraction form
    19,874.12/29,824.88 = 8,187.36/x
  3. Step 3: Cross multiply
    19,874.12x = 29,824.88 × 8,187.36
  4. Step 4: Simplify right side
    19,874.12x = 244,187,029.52
  5. Step 5: Solve for x
    x = 244,187,029.52/19,874.12
  6. Step 6: Final answer
    x = 12,286.68

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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.