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Finding the Fourth Proportional to 8,381.60, 11,553.12 and 7,380.48

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Solution

The fourth proportional to 8,381.60, 11,553.12 and 7,380.48 is: 10,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.60 : 11,553.12 = 7,380.48 : x
  2. Step 2: Convert to fraction form
    8,381.60/11,553.12 = 7,380.48/x
  3. Step 3: Cross multiply
    8,381.60x = 11,553.12 × 7,380.48
  4. Step 4: Simplify right side
    8,381.60x = 85,267,571.10
  5. Step 5: Solve for x
    x = 85,267,571.10/8,381.60
  6. Step 6: Final answer
    x = 10,173.19

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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.