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Finding the Fourth Proportional to 3,204.80, 4,420.80 and 2,026.40

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Solution

The fourth proportional to 3,204.80, 4,420.80 and 2,026.40 is: 2,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.80 : 4,420.80 = 2,026.40 : x
  2. Step 2: Convert to fraction form
    3,204.80/4,420.80 = 2,026.40/x
  3. Step 3: Cross multiply
    3,204.80x = 4,420.80 × 2,026.40
  4. Step 4: Simplify right side
    3,204.80x = 8,958,309.12
  5. Step 5: Solve for x
    x = 8,958,309.12/3,204.80
  6. Step 6: Final answer
    x = 2,795.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.