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Finding the Fourth Proportional to 7,871.98, 11,799.87 and 3,491.50

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Solution

The fourth proportional to 7,871.98, 11,799.87 and 3,491.50 is: 5,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.98 : 11,799.87 = 3,491.50 : x
  2. Step 2: Convert to fraction form
    7,871.98/11,799.87 = 3,491.50/x
  3. Step 3: Cross multiply
    7,871.98x = 11,799.87 × 3,491.50
  4. Step 4: Simplify right side
    7,871.98x = 41,199,246.11
  5. Step 5: Solve for x
    x = 41,199,246.11/7,871.98
  6. Step 6: Final answer
    x = 5,233.66

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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.