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Finding the Fourth Proportional to 2,622.10, 3,933.40 and 674.32

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Solution

The fourth proportional to 2,622.10, 3,933.40 and 674.32 is: 1,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.10 : 3,933.40 = 674.32 : x
  2. Step 2: Convert to fraction form
    2,622.10/3,933.40 = 674.32/x
  3. Step 3: Cross multiply
    2,622.10x = 3,933.40 × 674.32
  4. Step 4: Simplify right side
    2,622.10x = 2,652,370.29
  5. Step 5: Solve for x
    x = 2,652,370.29/2,622.10
  6. Step 6: Final answer
    x = 1,011.54

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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.