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Finding the Fourth Proportional to 2,208.77, 3,312.21 and 822.20

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Solution

The fourth proportional to 2,208.77, 3,312.21 and 822.20 is: 1,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.77 : 3,312.21 = 822.20 : x
  2. Step 2: Convert to fraction form
    2,208.77/3,312.21 = 822.20/x
  3. Step 3: Cross multiply
    2,208.77x = 3,312.21 × 822.20
  4. Step 4: Simplify right side
    2,208.77x = 2,723,299.06
  5. Step 5: Solve for x
    x = 2,723,299.06/2,208.77
  6. Step 6: Final answer
    x = 1,232.95

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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.