Home / 2,206.23-3,286.91-2,101.74

Finding the Fourth Proportional to 2,206.23, 3,286.91 and 2,101.74

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Solution

The fourth proportional to 2,206.23, 3,286.91 and 2,101.74 is: 3,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.23 : 3,286.91 = 2,101.74 : x
  2. Step 2: Convert to fraction form
    2,206.23/3,286.91 = 2,101.74/x
  3. Step 3: Cross multiply
    2,206.23x = 3,286.91 × 2,101.74
  4. Step 4: Simplify right side
    2,206.23x = 6,908,219.71
  5. Step 5: Solve for x
    x = 6,908,219.71/2,206.23
  6. Step 6: Final answer
    x = 3,131.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.