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Finding the Fourth Proportional to 2,154.56, 3,227.84 and 1,805.76

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Solution

The fourth proportional to 2,154.56, 3,227.84 and 1,805.76 is: 2,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.56 : 3,227.84 = 1,805.76 : x
  2. Step 2: Convert to fraction form
    2,154.56/3,227.84 = 1,805.76/x
  3. Step 3: Cross multiply
    2,154.56x = 3,227.84 × 1,805.76
  4. Step 4: Simplify right side
    2,154.56x = 5,828,704.36
  5. Step 5: Solve for x
    x = 5,828,704.36/2,154.56
  6. Step 6: Final answer
    x = 2,705.29

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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.