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Finding the Fourth Proportional to 8,261.56, 12,392.42 and 2,105.56

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Solution

The fourth proportional to 8,261.56, 12,392.42 and 2,105.56 is: 3,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.56 : 12,392.42 = 2,105.56 : x
  2. Step 2: Convert to fraction form
    8,261.56/12,392.42 = 2,105.56/x
  3. Step 3: Cross multiply
    8,261.56x = 12,392.42 × 2,105.56
  4. Step 4: Simplify right side
    8,261.56x = 26,092,983.86
  5. Step 5: Solve for x
    x = 26,092,983.86/8,261.56
  6. Step 6: Final answer
    x = 3,158.36

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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.