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Finding the Fourth Proportional to 18,782.40, 28,141.20 and 12,205.20

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Solution

The fourth proportional to 18,782.40, 28,141.20 and 12,205.20 is: 18,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782.40 : 28,141.20 = 12,205.20 : x
  2. Step 2: Convert to fraction form
    18,782.40/28,141.20 = 12,205.20/x
  3. Step 3: Cross multiply
    18,782.40x = 28,141.20 × 12,205.20
  4. Step 4: Simplify right side
    18,782.40x = 343,468,974.24
  5. Step 5: Solve for x
    x = 343,468,974.24/18,782.40
  6. Step 6: Final answer
    x = 18,286.75

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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.