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Finding the Fourth Proportional to 3,760.89, 5,642.64 and 1,163.82

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Solution

The fourth proportional to 3,760.89, 5,642.64 and 1,163.82 is: 1,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.89 : 5,642.64 = 1,163.82 : x
  2. Step 2: Convert to fraction form
    3,760.89/5,642.64 = 1,163.82/x
  3. Step 3: Cross multiply
    3,760.89x = 5,642.64 × 1,163.82
  4. Step 4: Simplify right side
    3,760.89x = 6,567,017.28
  5. Step 5: Solve for x
    x = 6,567,017.28/3,760.89
  6. Step 6: Final answer
    x = 1,746.13

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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.