Home / 2,073.10-3,107.19-1,098.70

Finding the Fourth Proportional to 2,073.10, 3,107.19 and 1,098.70

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Solution

The fourth proportional to 2,073.10, 3,107.19 and 1,098.70 is: 1,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.10 : 3,107.19 = 1,098.70 : x
  2. Step 2: Convert to fraction form
    2,073.10/3,107.19 = 1,098.70/x
  3. Step 3: Cross multiply
    2,073.10x = 3,107.19 × 1,098.70
  4. Step 4: Simplify right side
    2,073.10x = 3,413,869.65
  5. Step 5: Solve for x
    x = 3,413,869.65/2,073.10
  6. Step 6: Final answer
    x = 1,646.75

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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.