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Finding the Fourth Proportional to 3,591, 5,386.50 and 993.96

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Solution

The fourth proportional to 3,591, 5,386.50 and 993.96 is: 1,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591 : 5,386.50 = 993.96 : x
  2. Step 2: Convert to fraction form
    3,591/5,386.50 = 993.96/x
  3. Step 3: Cross multiply
    3,591x = 5,386.50 × 993.96
  4. Step 4: Simplify right side
    3,591x = 5,353,965.54
  5. Step 5: Solve for x
    x = 5,353,965.54/3,591
  6. Step 6: Final answer
    x = 1,490.94

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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.