Home / 1,418.27-1,957.22-829.16

Finding the Fourth Proportional to 1,418.27, 1,957.22 and 829.16

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Solution

The fourth proportional to 1,418.27, 1,957.22 and 829.16 is: 1,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.27 : 1,957.22 = 829.16 : x
  2. Step 2: Convert to fraction form
    1,418.27/1,957.22 = 829.16/x
  3. Step 3: Cross multiply
    1,418.27x = 1,957.22 × 829.16
  4. Step 4: Simplify right side
    1,418.27x = 1,622,834.60
  5. Step 5: Solve for x
    x = 1,622,834.60/1,418.27
  6. Step 6: Final answer
    x = 1,144.24

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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.