Home / 2,151.36-3,224.61-980.10

Finding the Fourth Proportional to 2,151.36, 3,224.61 and 980.10

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Solution

The fourth proportional to 2,151.36, 3,224.61 and 980.10 is: 1,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.36 : 3,224.61 = 980.10 : x
  2. Step 2: Convert to fraction form
    2,151.36/3,224.61 = 980.10/x
  3. Step 3: Cross multiply
    2,151.36x = 3,224.61 × 980.10
  4. Step 4: Simplify right side
    2,151.36x = 3,160,440.26
  5. Step 5: Solve for x
    x = 3,160,440.26/2,151.36
  6. Step 6: Final answer
    x = 1,469.04

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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.