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Finding the Fourth Proportional to 8,313.14, 11,473.56 and 7,939.46

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Solution

The fourth proportional to 8,313.14, 11,473.56 and 7,939.46 is: 10,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.14 : 11,473.56 = 7,939.46 : x
  2. Step 2: Convert to fraction form
    8,313.14/11,473.56 = 7,939.46/x
  3. Step 3: Cross multiply
    8,313.14x = 11,473.56 × 7,939.46
  4. Step 4: Simplify right side
    8,313.14x = 91,093,870.68
  5. Step 5: Solve for x
    x = 91,093,870.68/8,313.14
  6. Step 6: Final answer
    x = 10,957.82

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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.