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Finding the Fourth Proportional to 3,637, 5,456 and 1,171

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Solution

The fourth proportional to 3,637, 5,456 and 1,171 is: 1,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637 : 5,456 = 1,171 : x
  2. Step 2: Convert to fraction form
    3,637/5,456 = 1,171/x
  3. Step 3: Cross multiply
    3,637x = 5,456 × 1,171
  4. Step 4: Simplify right side
    3,637x = 6,388,976
  5. Step 5: Solve for x
    x = 6,388,976/3,637
  6. Step 6: Final answer
    x = 1,756.66

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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.