Home / 2,109.39-3,164.09-2,005.71

Finding the Fourth Proportional to 2,109.39, 3,164.09 and 2,005.71

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Solution

The fourth proportional to 2,109.39, 3,164.09 and 2,005.71 is: 3,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.39 : 3,164.09 = 2,005.71 : x
  2. Step 2: Convert to fraction form
    2,109.39/3,164.09 = 2,005.71/x
  3. Step 3: Cross multiply
    2,109.39x = 3,164.09 × 2,005.71
  4. Step 4: Simplify right side
    2,109.39x = 6,346,236.93
  5. Step 5: Solve for x
    x = 6,346,236.93/2,109.39
  6. Step 6: Final answer
    x = 3,008.57

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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.