Home / 2,122.70-3,184.05-968.45

Finding the Fourth Proportional to 2,122.70, 3,184.05 and 968.45

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Solution

The fourth proportional to 2,122.70, 3,184.05 and 968.45 is: 1,452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.70 : 3,184.05 = 968.45 : x
  2. Step 2: Convert to fraction form
    2,122.70/3,184.05 = 968.45/x
  3. Step 3: Cross multiply
    2,122.70x = 3,184.05 × 968.45
  4. Step 4: Simplify right side
    2,122.70x = 3,083,593.22
  5. Step 5: Solve for x
    x = 3,083,593.22/2,122.70
  6. Step 6: Final answer
    x = 1,452.68

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1.5x scale

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.