Home / 3,122.24-4,308.96-1,880

Finding the Fourth Proportional to 3,122.24, 4,308.96 and 1,880

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Solution

The fourth proportional to 3,122.24, 4,308.96 and 1,880 is: 2,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.24 : 4,308.96 = 1,880 : x
  2. Step 2: Convert to fraction form
    3,122.24/4,308.96 = 1,880/x
  3. Step 3: Cross multiply
    3,122.24x = 4,308.96 × 1,880
  4. Step 4: Simplify right side
    3,122.24x = 8,100,844.80
  5. Step 5: Solve for x
    x = 8,100,844.80/3,122.24
  6. Step 6: Final answer
    x = 2,594.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.