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Finding the Fourth Proportional to 2,716.80, 3,749.04 and 1,538.08

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Solution

The fourth proportional to 2,716.80, 3,749.04 and 1,538.08 is: 2,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.80 : 3,749.04 = 1,538.08 : x
  2. Step 2: Convert to fraction form
    2,716.80/3,749.04 = 1,538.08/x
  3. Step 3: Cross multiply
    2,716.80x = 3,749.04 × 1,538.08
  4. Step 4: Simplify right side
    2,716.80x = 5,766,323.44
  5. Step 5: Solve for x
    x = 5,766,323.44/2,716.80
  6. Step 6: Final answer
    x = 2,122.47

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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.