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Finding the Fourth Proportional to 2,246.22, 3,375 and 1,424.88

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Solution

The fourth proportional to 2,246.22, 3,375 and 1,424.88 is: 2,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.22 : 3,375 = 1,424.88 : x
  2. Step 2: Convert to fraction form
    2,246.22/3,375 = 1,424.88/x
  3. Step 3: Cross multiply
    2,246.22x = 3,375 × 1,424.88
  4. Step 4: Simplify right side
    2,246.22x = 4,808,970
  5. Step 5: Solve for x
    x = 4,808,970/2,246.22
  6. Step 6: Final answer
    x = 2,140.92

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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.