Home / 2,228.82-3,076-1,284.90

Finding the Fourth Proportional to 2,228.82, 3,076 and 1,284.90

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Solution

The fourth proportional to 2,228.82, 3,076 and 1,284.90 is: 1,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.82 : 3,076 = 1,284.90 : x
  2. Step 2: Convert to fraction form
    2,228.82/3,076 = 1,284.90/x
  3. Step 3: Cross multiply
    2,228.82x = 3,076 × 1,284.90
  4. Step 4: Simplify right side
    2,228.82x = 3,952,352.40
  5. Step 5: Solve for x
    x = 3,952,352.40/2,228.82
  6. Step 6: Final answer
    x = 1,773.29

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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.