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Finding the Fourth Proportional to 7,079.92, 9,770.48 and 3,936.04

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Solution

The fourth proportional to 7,079.92, 9,770.48 and 3,936.04 is: 5,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,079.92 : 9,770.48 = 3,936.04 : x
  2. Step 2: Convert to fraction form
    7,079.92/9,770.48 = 3,936.04/x
  3. Step 3: Cross multiply
    7,079.92x = 9,770.48 × 3,936.04
  4. Step 4: Simplify right side
    7,079.92x = 38,457,000.10
  5. Step 5: Solve for x
    x = 38,457,000.10/7,079.92
  6. Step 6: Final answer
    x = 5,431.84

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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.