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Finding the Fourth Proportional to 7,850.70, 10,839.12 and 7,019.64

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Solution

The fourth proportional to 7,850.70, 10,839.12 and 7,019.64 is: 9,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.70 : 10,839.12 = 7,019.64 : x
  2. Step 2: Convert to fraction form
    7,850.70/10,839.12 = 7,019.64/x
  3. Step 3: Cross multiply
    7,850.70x = 10,839.12 × 7,019.64
  4. Step 4: Simplify right side
    7,850.70x = 76,086,720.32
  5. Step 5: Solve for x
    x = 76,086,720.32/7,850.70
  6. Step 6: Final answer
    x = 9,691.71

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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.