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Finding the Fourth Proportional to 3,580.52, 5,370.20 and 982.85

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Solution

The fourth proportional to 3,580.52, 5,370.20 and 982.85 is: 1,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.52 : 5,370.20 = 982.85 : x
  2. Step 2: Convert to fraction form
    3,580.52/5,370.20 = 982.85/x
  3. Step 3: Cross multiply
    3,580.52x = 5,370.20 × 982.85
  4. Step 4: Simplify right side
    3,580.52x = 5,278,096.16
  5. Step 5: Solve for x
    x = 5,278,096.16/3,580.52
  6. Step 6: Final answer
    x = 1,474.11

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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.