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Finding the Fourth Proportional to 5,771, 8,651.38 and 2,807.82

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Solution

The fourth proportional to 5,771, 8,651.38 and 2,807.82 is: 4,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771 : 8,651.38 = 2,807.82 : x
  2. Step 2: Convert to fraction form
    5,771/8,651.38 = 2,807.82/x
  3. Step 3: Cross multiply
    5,771x = 8,651.38 × 2,807.82
  4. Step 4: Simplify right side
    5,771x = 24,291,517.79
  5. Step 5: Solve for x
    x = 24,291,517.79/5,771
  6. Step 6: Final answer
    x = 4,209.24

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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.