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Finding the Fourth Proportional to 3,744.74, 5,167.74 and 2,172.80

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Solution

The fourth proportional to 3,744.74, 5,167.74 and 2,172.80 is: 2,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.74 : 5,167.74 = 2,172.80 : x
  2. Step 2: Convert to fraction form
    3,744.74/5,167.74 = 2,172.80/x
  3. Step 3: Cross multiply
    3,744.74x = 5,167.74 × 2,172.80
  4. Step 4: Simplify right side
    3,744.74x = 11,228,465.47
  5. Step 5: Solve for x
    x = 11,228,465.47/3,744.74
  6. Step 6: Final answer
    x = 2,998.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.