Home / 2,132.75-3,198.49-900.14

Finding the Fourth Proportional to 2,132.75, 3,198.49 and 900.14

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Solution

The fourth proportional to 2,132.75, 3,198.49 and 900.14 is: 1,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.75 : 3,198.49 = 900.14 : x
  2. Step 2: Convert to fraction form
    2,132.75/3,198.49 = 900.14/x
  3. Step 3: Cross multiply
    2,132.75x = 3,198.49 × 900.14
  4. Step 4: Simplify right side
    2,132.75x = 2,879,070.55
  5. Step 5: Solve for x
    x = 2,879,070.55/2,132.75
  6. Step 6: Final answer
    x = 1,349.93

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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.