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Finding the Fourth Proportional to 3,771.78, 5,655.39 and 1,691.40

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Solution

The fourth proportional to 3,771.78, 5,655.39 and 1,691.40 is: 2,536.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.78 : 5,655.39 = 1,691.40 : x
  2. Step 2: Convert to fraction form
    3,771.78/5,655.39 = 1,691.40/x
  3. Step 3: Cross multiply
    3,771.78x = 5,655.39 × 1,691.40
  4. Step 4: Simplify right side
    3,771.78x = 9,565,526.65
  5. Step 5: Solve for x
    x = 9,565,526.65/3,771.78
  6. Step 6: Final answer
    x = 2,536.08

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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.