Home / 2,128.24-3,184.14-2,122.78

Finding the Fourth Proportional to 2,128.24, 3,184.14 and 2,122.78

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Solution

The fourth proportional to 2,128.24, 3,184.14 and 2,122.78 is: 3,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.24 : 3,184.14 = 2,122.78 : x
  2. Step 2: Convert to fraction form
    2,128.24/3,184.14 = 2,122.78/x
  3. Step 3: Cross multiply
    2,128.24x = 3,184.14 × 2,122.78
  4. Step 4: Simplify right side
    2,128.24x = 6,759,228.71
  5. Step 5: Solve for x
    x = 6,759,228.71/2,128.24
  6. Step 6: Final answer
    x = 3,175.97

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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.