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Finding the Fourth Proportional to 2,806.20, 4,205.70 and 2,153.70

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Solution

The fourth proportional to 2,806.20, 4,205.70 and 2,153.70 is: 3,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.20 : 4,205.70 = 2,153.70 : x
  2. Step 2: Convert to fraction form
    2,806.20/4,205.70 = 2,153.70/x
  3. Step 3: Cross multiply
    2,806.20x = 4,205.70 × 2,153.70
  4. Step 4: Simplify right side
    2,806.20x = 9,057,816.09
  5. Step 5: Solve for x
    x = 9,057,816.09/2,806.20
  6. Step 6: Final answer
    x = 3,227.79

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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.