Home / 2,136.16-3,204.20-749.11

Finding the Fourth Proportional to 2,136.16, 3,204.20 and 749.11

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Solution

The fourth proportional to 2,136.16, 3,204.20 and 749.11 is: 1,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.16 : 3,204.20 = 749.11 : x
  2. Step 2: Convert to fraction form
    2,136.16/3,204.20 = 749.11/x
  3. Step 3: Cross multiply
    2,136.16x = 3,204.20 × 749.11
  4. Step 4: Simplify right side
    2,136.16x = 2,400,298.26
  5. Step 5: Solve for x
    x = 2,400,298.26/2,136.16
  6. Step 6: Final answer
    x = 1,123.65

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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.