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Finding the Fourth Proportional to 4,240.78, 6,361.22 and 1,162.78

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Solution

The fourth proportional to 4,240.78, 6,361.22 and 1,162.78 is: 1,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.78 : 6,361.22 = 1,162.78 : x
  2. Step 2: Convert to fraction form
    4,240.78/6,361.22 = 1,162.78/x
  3. Step 3: Cross multiply
    4,240.78x = 6,361.22 × 1,162.78
  4. Step 4: Simplify right side
    4,240.78x = 7,396,699.39
  5. Step 5: Solve for x
    x = 7,396,699.39/4,240.78
  6. Step 6: Final answer
    x = 1,744.18

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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.