Home / 2,121.40-3,182.10-1,635

Finding the Fourth Proportional to 2,121.40, 3,182.10 and 1,635

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Solution

The fourth proportional to 2,121.40, 3,182.10 and 1,635 is: 2,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.40 : 3,182.10 = 1,635 : x
  2. Step 2: Convert to fraction form
    2,121.40/3,182.10 = 1,635/x
  3. Step 3: Cross multiply
    2,121.40x = 3,182.10 × 1,635
  4. Step 4: Simplify right side
    2,121.40x = 5,202,733.50
  5. Step 5: Solve for x
    x = 5,202,733.50/2,121.40
  6. Step 6: Final answer
    x = 2,452.50

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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.