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Finding the Fourth Proportional to 1,672.22, 2,507.41 and 1,327.76

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Solution

The fourth proportional to 1,672.22, 2,507.41 and 1,327.76 is: 1,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.22 : 2,507.41 = 1,327.76 : x
  2. Step 2: Convert to fraction form
    1,672.22/2,507.41 = 1,327.76/x
  3. Step 3: Cross multiply
    1,672.22x = 2,507.41 × 1,327.76
  4. Step 4: Simplify right side
    1,672.22x = 3,329,232.06
  5. Step 5: Solve for x
    x = 3,329,232.06/1,672.22
  6. Step 6: Final answer
    x = 1,990.91

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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.