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Finding the Fourth Proportional to 3,872.00, 5,807.77 and 1,098.29

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Solution

The fourth proportional to 3,872.00, 5,807.77 and 1,098.29 is: 1,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.00 : 5,807.77 = 1,098.29 : x
  2. Step 2: Convert to fraction form
    3,872.00/5,807.77 = 1,098.29/x
  3. Step 3: Cross multiply
    3,872.00x = 5,807.77 × 1,098.29
  4. Step 4: Simplify right side
    3,872.00x = 6,378,627.49
  5. Step 5: Solve for x
    x = 6,378,627.49/3,872.00
  6. Step 6: Final answer
    x = 1,647.37

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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.