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Finding the Fourth Proportional to 19,891.45, 29,840.81 and 8,205.58

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Solution

The fourth proportional to 19,891.45, 29,840.81 and 8,205.58 is: 12,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.45 : 29,840.81 = 8,205.58 : x
  2. Step 2: Convert to fraction form
    19,891.45/29,840.81 = 8,205.58/x
  3. Step 3: Cross multiply
    19,891.45x = 29,840.81 × 8,205.58
  4. Step 4: Simplify right side
    19,891.45x = 244,861,153.72
  5. Step 5: Solve for x
    x = 244,861,153.72/19,891.45
  6. Step 6: Final answer
    x = 12,309.87

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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.