Home / 1,142.46-1,712.22-867.72

Finding the Fourth Proportional to 1,142.46, 1,712.22 and 867.72

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Solution

The fourth proportional to 1,142.46, 1,712.22 and 867.72 is: 1,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.46 : 1,712.22 = 867.72 : x
  2. Step 2: Convert to fraction form
    1,142.46/1,712.22 = 867.72/x
  3. Step 3: Cross multiply
    1,142.46x = 1,712.22 × 867.72
  4. Step 4: Simplify right side
    1,142.46x = 1,485,727.54
  5. Step 5: Solve for x
    x = 1,485,727.54/1,142.46
  6. Step 6: Final answer
    x = 1,300.46

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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.