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Finding the Fourth Proportional to 2,982.05, 4,472.21 and 1,203.11

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Solution

The fourth proportional to 2,982.05, 4,472.21 and 1,203.11 is: 1,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.05 : 4,472.21 = 1,203.11 : x
  2. Step 2: Convert to fraction form
    2,982.05/4,472.21 = 1,203.11/x
  3. Step 3: Cross multiply
    2,982.05x = 4,472.21 × 1,203.11
  4. Step 4: Simplify right side
    2,982.05x = 5,380,574.76
  5. Step 5: Solve for x
    x = 5,380,574.76/2,982.05
  6. Step 6: Final answer
    x = 1,804.32

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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.