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Finding the Fourth Proportional to 2,065.21, 3,098.22 and 766.78

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Solution

The fourth proportional to 2,065.21, 3,098.22 and 766.78 is: 1,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.21 : 3,098.22 = 766.78 : x
  2. Step 2: Convert to fraction form
    2,065.21/3,098.22 = 766.78/x
  3. Step 3: Cross multiply
    2,065.21x = 3,098.22 × 766.78
  4. Step 4: Simplify right side
    2,065.21x = 2,375,653.13
  5. Step 5: Solve for x
    x = 2,375,653.13/2,065.21
  6. Step 6: Final answer
    x = 1,150.32

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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.