Home / 2,136.78-3,206.13-1,161.42

Finding the Fourth Proportional to 2,136.78, 3,206.13 and 1,161.42

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Solution

The fourth proportional to 2,136.78, 3,206.13 and 1,161.42 is: 1,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.78 : 3,206.13 = 1,161.42 : x
  2. Step 2: Convert to fraction form
    2,136.78/3,206.13 = 1,161.42/x
  3. Step 3: Cross multiply
    2,136.78x = 3,206.13 × 1,161.42
  4. Step 4: Simplify right side
    2,136.78x = 3,723,663.50
  5. Step 5: Solve for x
    x = 3,723,663.50/2,136.78
  6. Step 6: Final answer
    x = 1,742.65

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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.