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Finding the Fourth Proportional to 2,139.01, 3,208.95 and 822.76

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Solution

The fourth proportional to 2,139.01, 3,208.95 and 822.76 is: 1,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.01 : 3,208.95 = 822.76 : x
  2. Step 2: Convert to fraction form
    2,139.01/3,208.95 = 822.76/x
  3. Step 3: Cross multiply
    2,139.01x = 3,208.95 × 822.76
  4. Step 4: Simplify right side
    2,139.01x = 2,640,187.68
  5. Step 5: Solve for x
    x = 2,640,187.68/2,139.01
  6. Step 6: Final answer
    x = 1,234.31

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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.