Home / 2,015.32-3,022.12-765.70

Finding the Fourth Proportional to 2,015.32, 3,022.12 and 765.70

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Solution

The fourth proportional to 2,015.32, 3,022.12 and 765.70 is: 1,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.32 : 3,022.12 = 765.70 : x
  2. Step 2: Convert to fraction form
    2,015.32/3,022.12 = 765.70/x
  3. Step 3: Cross multiply
    2,015.32x = 3,022.12 × 765.70
  4. Step 4: Simplify right side
    2,015.32x = 2,314,037.28
  5. Step 5: Solve for x
    x = 2,314,037.28/2,015.32
  6. Step 6: Final answer
    x = 1,148.22

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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.