Home / 2,228.07-3,338.43-766.41

Finding the Fourth Proportional to 2,228.07, 3,338.43 and 766.41

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Solution

The fourth proportional to 2,228.07, 3,338.43 and 766.41 is: 1,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.07 : 3,338.43 = 766.41 : x
  2. Step 2: Convert to fraction form
    2,228.07/3,338.43 = 766.41/x
  3. Step 3: Cross multiply
    2,228.07x = 3,338.43 × 766.41
  4. Step 4: Simplify right side
    2,228.07x = 2,558,606.14
  5. Step 5: Solve for x
    x = 2,558,606.14/2,228.07
  6. Step 6: Final answer
    x = 1,148.35

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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.