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Finding the Fourth Proportional to 5,807.82, 8,713.08 and 1,912.26

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Solution

The fourth proportional to 5,807.82, 8,713.08 and 1,912.26 is: 2,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.82 : 8,713.08 = 1,912.26 : x
  2. Step 2: Convert to fraction form
    5,807.82/8,713.08 = 1,912.26/x
  3. Step 3: Cross multiply
    5,807.82x = 8,713.08 × 1,912.26
  4. Step 4: Simplify right side
    5,807.82x = 16,661,674.36
  5. Step 5: Solve for x
    x = 16,661,674.36/5,807.82
  6. Step 6: Final answer
    x = 2,868.83

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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.