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Finding the Fourth Proportional to 8,482.24, 11,679.42 and 7,361.20

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Solution

The fourth proportional to 8,482.24, 11,679.42 and 7,361.20 is: 10,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.24 : 11,679.42 = 7,361.20 : x
  2. Step 2: Convert to fraction form
    8,482.24/11,679.42 = 7,361.20/x
  3. Step 3: Cross multiply
    8,482.24x = 11,679.42 × 7,361.20
  4. Step 4: Simplify right side
    8,482.24x = 85,974,546.50
  5. Step 5: Solve for x
    x = 85,974,546.50/8,482.24
  6. Step 6: Final answer
    x = 10,135.83

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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.