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Finding the Fourth Proportional to 3,809.57, 5,704.56 and 2,637.90

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Solution

The fourth proportional to 3,809.57, 5,704.56 and 2,637.90 is: 3,950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.57 : 5,704.56 = 2,637.90 : x
  2. Step 2: Convert to fraction form
    3,809.57/5,704.56 = 2,637.90/x
  3. Step 3: Cross multiply
    3,809.57x = 5,704.56 × 2,637.90
  4. Step 4: Simplify right side
    3,809.57x = 15,048,058.82
  5. Step 5: Solve for x
    x = 15,048,058.82/3,809.57
  6. Step 6: Final answer
    x = 3,950.07

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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.