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Finding the Fourth Proportional to 19,882.14, 29,826.81 and 8,188.98

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Solution

The fourth proportional to 19,882.14, 29,826.81 and 8,188.98 is: 12,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.14 : 29,826.81 = 8,188.98 : x
  2. Step 2: Convert to fraction form
    19,882.14/29,826.81 = 8,188.98/x
  3. Step 3: Cross multiply
    19,882.14x = 29,826.81 × 8,188.98
  4. Step 4: Simplify right side
    19,882.14x = 244,251,150.55
  5. Step 5: Solve for x
    x = 244,251,150.55/19,882.14
  6. Step 6: Final answer
    x = 12,284.95

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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.