Home / 1,768.16-2,439.82-1,022

Finding the Fourth Proportional to 1,768.16, 2,439.82 and 1,022

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Solution

The fourth proportional to 1,768.16, 2,439.82 and 1,022 is: 1,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.16 : 2,439.82 = 1,022 : x
  2. Step 2: Convert to fraction form
    1,768.16/2,439.82 = 1,022/x
  3. Step 3: Cross multiply
    1,768.16x = 2,439.82 × 1,022
  4. Step 4: Simplify right side
    1,768.16x = 2,493,496.04
  5. Step 5: Solve for x
    x = 2,493,496.04/1,768.16
  6. Step 6: Final answer
    x = 1,410.22

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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.