Home / 2,038.14-3,057.21-867.97

Finding the Fourth Proportional to 2,038.14, 3,057.21 and 867.97

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Solution

The fourth proportional to 2,038.14, 3,057.21 and 867.97 is: 1,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.14 : 3,057.21 = 867.97 : x
  2. Step 2: Convert to fraction form
    2,038.14/3,057.21 = 867.97/x
  3. Step 3: Cross multiply
    2,038.14x = 3,057.21 × 867.97
  4. Step 4: Simplify right side
    2,038.14x = 2,653,566.56
  5. Step 5: Solve for x
    x = 2,653,566.56/2,038.14
  6. Step 6: Final answer
    x = 1,301.96

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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.