Home / 2,202.13-3,301.99-968.10

Finding the Fourth Proportional to 2,202.13, 3,301.99 and 968.10

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Solution

The fourth proportional to 2,202.13, 3,301.99 and 968.10 is: 1,451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.13 : 3,301.99 = 968.10 : x
  2. Step 2: Convert to fraction form
    2,202.13/3,301.99 = 968.10/x
  3. Step 3: Cross multiply
    2,202.13x = 3,301.99 × 968.10
  4. Step 4: Simplify right side
    2,202.13x = 3,196,656.52
  5. Step 5: Solve for x
    x = 3,196,656.52/2,202.13
  6. Step 6: Final answer
    x = 1,451.62

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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.