Home / 2,272.25-3,402.01-1,228.50

Finding the Fourth Proportional to 2,272.25, 3,402.01 and 1,228.50

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Solution

The fourth proportional to 2,272.25, 3,402.01 and 1,228.50 is: 1,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.25 : 3,402.01 = 1,228.50 : x
  2. Step 2: Convert to fraction form
    2,272.25/3,402.01 = 1,228.50/x
  3. Step 3: Cross multiply
    2,272.25x = 3,402.01 × 1,228.50
  4. Step 4: Simplify right side
    2,272.25x = 4,179,366.21
  5. Step 5: Solve for x
    x = 4,179,366.21/2,272.25
  6. Step 6: Final answer
    x = 1,839.31

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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.