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Finding the Fourth Proportional to 3,871.75, 5,807.70 and 1,098.51

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Solution

The fourth proportional to 3,871.75, 5,807.70 and 1,098.51 is: 1,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.75 : 5,807.70 = 1,098.51 : x
  2. Step 2: Convert to fraction form
    3,871.75/5,807.70 = 1,098.51/x
  3. Step 3: Cross multiply
    3,871.75x = 5,807.70 × 1,098.51
  4. Step 4: Simplify right side
    3,871.75x = 6,379,827.42
  5. Step 5: Solve for x
    x = 6,379,827.42/3,871.75
  6. Step 6: Final answer
    x = 1,647.79

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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.