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Finding the Fourth Proportional to 2,065.14, 3,098.50 and 1,244

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Solution

The fourth proportional to 2,065.14, 3,098.50 and 1,244 is: 1,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.14 : 3,098.50 = 1,244 : x
  2. Step 2: Convert to fraction form
    2,065.14/3,098.50 = 1,244/x
  3. Step 3: Cross multiply
    2,065.14x = 3,098.50 × 1,244
  4. Step 4: Simplify right side
    2,065.14x = 3,854,534
  5. Step 5: Solve for x
    x = 3,854,534/2,065.14
  6. Step 6: Final answer
    x = 1,866.48

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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.