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Finding the Fourth Proportional to 3,771.66, 5,656.78 and 1,691.28

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Solution

The fourth proportional to 3,771.66, 5,656.78 and 1,691.28 is: 2,536.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.66 : 5,656.78 = 1,691.28 : x
  2. Step 2: Convert to fraction form
    3,771.66/5,656.78 = 1,691.28/x
  3. Step 3: Cross multiply
    3,771.66x = 5,656.78 × 1,691.28
  4. Step 4: Simplify right side
    3,771.66x = 9,567,162.14
  5. Step 5: Solve for x
    x = 9,567,162.14/3,771.66
  6. Step 6: Final answer
    x = 2,536.59

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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.