Home / 2,146.37-3,219.28-759.31

Finding the Fourth Proportional to 2,146.37, 3,219.28 and 759.31

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Solution

The fourth proportional to 2,146.37, 3,219.28 and 759.31 is: 1,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.37 : 3,219.28 = 759.31 : x
  2. Step 2: Convert to fraction form
    2,146.37/3,219.28 = 759.31/x
  3. Step 3: Cross multiply
    2,146.37x = 3,219.28 × 759.31
  4. Step 4: Simplify right side
    2,146.37x = 2,444,421.55
  5. Step 5: Solve for x
    x = 2,444,421.55/2,146.37
  6. Step 6: Final answer
    x = 1,138.87

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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.