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Finding the Fourth Proportional to 2,716.80, 3,747.36 and 1,669.47

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Solution

The fourth proportional to 2,716.80, 3,747.36 and 1,669.47 is: 2,302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.80 : 3,747.36 = 1,669.47 : x
  2. Step 2: Convert to fraction form
    2,716.80/3,747.36 = 1,669.47/x
  3. Step 3: Cross multiply
    2,716.80x = 3,747.36 × 1,669.47
  4. Step 4: Simplify right side
    2,716.80x = 6,256,105.10
  5. Step 5: Solve for x
    x = 6,256,105.10/2,716.80
  6. Step 6: Final answer
    x = 2,302.75

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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.