Home / 2,151.26-3,225.83-764.39

Finding the Fourth Proportional to 2,151.26, 3,225.83 and 764.39

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Solution

The fourth proportional to 2,151.26, 3,225.83 and 764.39 is: 1,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.26 : 3,225.83 = 764.39 : x
  2. Step 2: Convert to fraction form
    2,151.26/3,225.83 = 764.39/x
  3. Step 3: Cross multiply
    2,151.26x = 3,225.83 × 764.39
  4. Step 4: Simplify right side
    2,151.26x = 2,465,800.74
  5. Step 5: Solve for x
    x = 2,465,800.74/2,151.26
  6. Step 6: Final answer
    x = 1,146.21

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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.