Home / 2,257.77-3,383.28-1,160.64

Finding the Fourth Proportional to 2,257.77, 3,383.28 and 1,160.64

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Solution

The fourth proportional to 2,257.77, 3,383.28 and 1,160.64 is: 1,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.77 : 3,383.28 = 1,160.64 : x
  2. Step 2: Convert to fraction form
    2,257.77/3,383.28 = 1,160.64/x
  3. Step 3: Cross multiply
    2,257.77x = 3,383.28 × 1,160.64
  4. Step 4: Simplify right side
    2,257.77x = 3,926,770.10
  5. Step 5: Solve for x
    x = 3,926,770.10/2,257.77
  6. Step 6: Final answer
    x = 1,739.23

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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.