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Finding the Fourth Proportional to 3,487.81, 5,231.60 and 855.32

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Solution

The fourth proportional to 3,487.81, 5,231.60 and 855.32 is: 1,282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.81 : 5,231.60 = 855.32 : x
  2. Step 2: Convert to fraction form
    3,487.81/5,231.60 = 855.32/x
  3. Step 3: Cross multiply
    3,487.81x = 5,231.60 × 855.32
  4. Step 4: Simplify right side
    3,487.81x = 4,474,708.40
  5. Step 5: Solve for x
    x = 4,474,708.40/3,487.81
  6. Step 6: Final answer
    x = 1,282.96

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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.