Home / 2,775.24-3,829.38-1,533

Finding the Fourth Proportional to 2,775.24, 3,829.38 and 1,533

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Solution

The fourth proportional to 2,775.24, 3,829.38 and 1,533 is: 2,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.24 : 3,829.38 = 1,533 : x
  2. Step 2: Convert to fraction form
    2,775.24/3,829.38 = 1,533/x
  3. Step 3: Cross multiply
    2,775.24x = 3,829.38 × 1,533
  4. Step 4: Simplify right side
    2,775.24x = 5,870,439.54
  5. Step 5: Solve for x
    x = 5,870,439.54/2,775.24
  6. Step 6: Final answer
    x = 2,115.29

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1.5x scale

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.