Home / 2,098.36-3,145.92-1,405

Finding the Fourth Proportional to 2,098.36, 3,145.92 and 1,405

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Solution

The fourth proportional to 2,098.36, 3,145.92 and 1,405 is: 2,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.36 : 3,145.92 = 1,405 : x
  2. Step 2: Convert to fraction form
    2,098.36/3,145.92 = 1,405/x
  3. Step 3: Cross multiply
    2,098.36x = 3,145.92 × 1,405
  4. Step 4: Simplify right side
    2,098.36x = 4,420,017.60
  5. Step 5: Solve for x
    x = 4,420,017.60/2,098.36
  6. Step 6: Final answer
    x = 2,106.42

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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.