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Finding the Fourth Proportional to 8,142.70, 12,213.84 and 2,299.22

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Solution

The fourth proportional to 8,142.70, 12,213.84 and 2,299.22 is: 3,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.70 : 12,213.84 = 2,299.22 : x
  2. Step 2: Convert to fraction form
    8,142.70/12,213.84 = 2,299.22/x
  3. Step 3: Cross multiply
    8,142.70x = 12,213.84 × 2,299.22
  4. Step 4: Simplify right side
    8,142.70x = 28,082,305.20
  5. Step 5: Solve for x
    x = 28,082,305.20/8,142.70
  6. Step 6: Final answer
    x = 3,448.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.