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Finding the Fourth Proportional to 8,203.32, 12,305.69 and 3,523.54

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Solution

The fourth proportional to 8,203.32, 12,305.69 and 3,523.54 is: 5,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.32 : 12,305.69 = 3,523.54 : x
  2. Step 2: Convert to fraction form
    8,203.32/12,305.69 = 3,523.54/x
  3. Step 3: Cross multiply
    8,203.32x = 12,305.69 × 3,523.54
  4. Step 4: Simplify right side
    8,203.32x = 43,359,590.94
  5. Step 5: Solve for x
    x = 43,359,590.94/8,203.32
  6. Step 6: Final answer
    x = 5,285.61

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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.