Home / 2,141.16-3,209.24-969.80

Finding the Fourth Proportional to 2,141.16, 3,209.24 and 969.80

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Solution

The fourth proportional to 2,141.16, 3,209.24 and 969.80 is: 1,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.16 : 3,209.24 = 969.80 : x
  2. Step 2: Convert to fraction form
    2,141.16/3,209.24 = 969.80/x
  3. Step 3: Cross multiply
    2,141.16x = 3,209.24 × 969.80
  4. Step 4: Simplify right side
    2,141.16x = 3,112,320.95
  5. Step 5: Solve for x
    x = 3,112,320.95/2,141.16
  6. Step 6: Final answer
    x = 1,453.57

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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.