Home / 2,123.90-3,187.05-825.20

Finding the Fourth Proportional to 2,123.90, 3,187.05 and 825.20

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Solution

The fourth proportional to 2,123.90, 3,187.05 and 825.20 is: 1,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.90 : 3,187.05 = 825.20 : x
  2. Step 2: Convert to fraction form
    2,123.90/3,187.05 = 825.20/x
  3. Step 3: Cross multiply
    2,123.90x = 3,187.05 × 825.20
  4. Step 4: Simplify right side
    2,123.90x = 2,629,953.66
  5. Step 5: Solve for x
    x = 2,629,953.66/2,123.90
  6. Step 6: Final answer
    x = 1,238.27

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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.