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Finding the Fourth Proportional to 20,585.94, 30,920.24 and 12,282.18

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Solution

The fourth proportional to 20,585.94, 30,920.24 and 12,282.18 is: 18,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.94 : 30,920.24 = 12,282.18 : x
  2. Step 2: Convert to fraction form
    20,585.94/30,920.24 = 12,282.18/x
  3. Step 3: Cross multiply
    20,585.94x = 30,920.24 × 12,282.18
  4. Step 4: Simplify right side
    20,585.94x = 379,767,891.91
  5. Step 5: Solve for x
    x = 379,767,891.91/20,585.94
  6. Step 6: Final answer
    x = 18,447.93

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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.