Home / 2,122.72-3,180-1,896.64

Finding the Fourth Proportional to 2,122.72, 3,180 and 1,896.64

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Solution

The fourth proportional to 2,122.72, 3,180 and 1,896.64 is: 2,841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.72 : 3,180 = 1,896.64 : x
  2. Step 2: Convert to fraction form
    2,122.72/3,180 = 1,896.64/x
  3. Step 3: Cross multiply
    2,122.72x = 3,180 × 1,896.64
  4. Step 4: Simplify right side
    2,122.72x = 6,031,315.20
  5. Step 5: Solve for x
    x = 6,031,315.20/2,122.72
  6. Step 6: Final answer
    x = 2,841.31

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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.