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Finding the Fourth Proportional to 3,872.72, 5,809.10 and 3,675.52

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Solution

The fourth proportional to 3,872.72, 5,809.10 and 3,675.52 is: 5,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.72 : 5,809.10 = 3,675.52 : x
  2. Step 2: Convert to fraction form
    3,872.72/5,809.10 = 3,675.52/x
  3. Step 3: Cross multiply
    3,872.72x = 5,809.10 × 3,675.52
  4. Step 4: Simplify right side
    3,872.72x = 21,351,430.33
  5. Step 5: Solve for x
    x = 21,351,430.33/3,872.72
  6. Step 6: Final answer
    x = 5,513.29

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1.5x scale

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.