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Finding the Fourth Proportional to 3,872.70, 5,809.77 and 1,275.42

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Solution

The fourth proportional to 3,872.70, 5,809.77 and 1,275.42 is: 1,913.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.70 : 5,809.77 = 1,275.42 : x
  2. Step 2: Convert to fraction form
    3,872.70/5,809.77 = 1,275.42/x
  3. Step 3: Cross multiply
    3,872.70x = 5,809.77 × 1,275.42
  4. Step 4: Simplify right side
    3,872.70x = 7,409,896.85
  5. Step 5: Solve for x
    x = 7,409,896.85/3,872.70
  6. Step 6: Final answer
    x = 1,913.37

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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.