Home / 2,272.14-3,408.28-712.16

Finding the Fourth Proportional to 2,272.14, 3,408.28 and 712.16

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Solution

The fourth proportional to 2,272.14, 3,408.28 and 712.16 is: 1,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.14 : 3,408.28 = 712.16 : x
  2. Step 2: Convert to fraction form
    2,272.14/3,408.28 = 712.16/x
  3. Step 3: Cross multiply
    2,272.14x = 3,408.28 × 712.16
  4. Step 4: Simplify right side
    2,272.14x = 2,427,240.68
  5. Step 5: Solve for x
    x = 2,427,240.68/2,272.14
  6. Step 6: Final answer
    x = 1,068.26

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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.