Home / 3,825.52-5,739-1,228.24

Finding the Fourth Proportional to 3,825.52, 5,739 and 1,228.24

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Solution

The fourth proportional to 3,825.52, 5,739 and 1,228.24 is: 1,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.52 : 5,739 = 1,228.24 : x
  2. Step 2: Convert to fraction form
    3,825.52/5,739 = 1,228.24/x
  3. Step 3: Cross multiply
    3,825.52x = 5,739 × 1,228.24
  4. Step 4: Simplify right side
    3,825.52x = 7,048,869.36
  5. Step 5: Solve for x
    x = 7,048,869.36/3,825.52
  6. Step 6: Final answer
    x = 1,842.59

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1.5x scale

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.