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Finding the Fourth Proportional to 5,335.58, 7,991.82 and 3,871.50

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Solution

The fourth proportional to 5,335.58, 7,991.82 and 3,871.50 is: 5,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.58 : 7,991.82 = 3,871.50 : x
  2. Step 2: Convert to fraction form
    5,335.58/7,991.82 = 3,871.50/x
  3. Step 3: Cross multiply
    5,335.58x = 7,991.82 × 3,871.50
  4. Step 4: Simplify right side
    5,335.58x = 30,940,331.13
  5. Step 5: Solve for x
    x = 30,940,331.13/5,335.58
  6. Step 6: Final answer
    x = 5,798.87

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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.