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Finding the Fourth Proportional to 8,245.84, 11,380.98 and 7,581.64

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Solution

The fourth proportional to 8,245.84, 11,380.98 and 7,581.64 is: 10,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.84 : 11,380.98 = 7,581.64 : x
  2. Step 2: Convert to fraction form
    8,245.84/11,380.98 = 7,581.64/x
  3. Step 3: Cross multiply
    8,245.84x = 11,380.98 × 7,581.64
  4. Step 4: Simplify right side
    8,245.84x = 86,286,493.21
  5. Step 5: Solve for x
    x = 86,286,493.21/8,245.84
  6. Step 6: Final answer
    x = 10,464.25

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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.