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Finding the Fourth Proportional to 7,168.70, 9,892.46 and 3,982.20

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Solution

The fourth proportional to 7,168.70, 9,892.46 and 3,982.20 is: 5,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.70 : 9,892.46 = 3,982.20 : x
  2. Step 2: Convert to fraction form
    7,168.70/9,892.46 = 3,982.20/x
  3. Step 3: Cross multiply
    7,168.70x = 9,892.46 × 3,982.20
  4. Step 4: Simplify right side
    7,168.70x = 39,393,734.30
  5. Step 5: Solve for x
    x = 39,393,734.30/7,168.70
  6. Step 6: Final answer
    x = 5,495.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.