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Finding the Fourth Proportional to 3,807.82, 5,711.67 and 1,175.32

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Solution

The fourth proportional to 3,807.82, 5,711.67 and 1,175.32 is: 1,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.82 : 5,711.67 = 1,175.32 : x
  2. Step 2: Convert to fraction form
    3,807.82/5,711.67 = 1,175.32/x
  3. Step 3: Cross multiply
    3,807.82x = 5,711.67 × 1,175.32
  4. Step 4: Simplify right side
    3,807.82x = 6,713,039.98
  5. Step 5: Solve for x
    x = 6,713,039.98/3,807.82
  6. Step 6: Final answer
    x = 1,762.96

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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.