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Finding the Fourth Proportional to 7,962.28, 10,991.94 and 5,313.96

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Solution

The fourth proportional to 7,962.28, 10,991.94 and 5,313.96 is: 7,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962.28 : 10,991.94 = 5,313.96 : x
  2. Step 2: Convert to fraction form
    7,962.28/10,991.94 = 5,313.96/x
  3. Step 3: Cross multiply
    7,962.28x = 10,991.94 × 5,313.96
  4. Step 4: Simplify right side
    7,962.28x = 58,410,729.48
  5. Step 5: Solve for x
    x = 58,410,729.48/7,962.28
  6. Step 6: Final answer
    x = 7,335.93

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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.