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Finding the Fourth Proportional to 3,356.80, 5,035.20 and 2,822.20

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Solution

The fourth proportional to 3,356.80, 5,035.20 and 2,822.20 is: 4,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.80 : 5,035.20 = 2,822.20 : x
  2. Step 2: Convert to fraction form
    3,356.80/5,035.20 = 2,822.20/x
  3. Step 3: Cross multiply
    3,356.80x = 5,035.20 × 2,822.20
  4. Step 4: Simplify right side
    3,356.80x = 14,210,341.44
  5. Step 5: Solve for x
    x = 14,210,341.44/3,356.80
  6. Step 6: Final answer
    x = 4,233.30

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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.