Home / 2,257.25-3,383.28-869.90

Finding the Fourth Proportional to 2,257.25, 3,383.28 and 869.90

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Solution

The fourth proportional to 2,257.25, 3,383.28 and 869.90 is: 1,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.25 : 3,383.28 = 869.90 : x
  2. Step 2: Convert to fraction form
    2,257.25/3,383.28 = 869.90/x
  3. Step 3: Cross multiply
    2,257.25x = 3,383.28 × 869.90
  4. Step 4: Simplify right side
    2,257.25x = 2,943,098.36
  5. Step 5: Solve for x
    x = 2,943,098.36/2,257.25
  6. Step 6: Final answer
    x = 1,303.84

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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.