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Finding the Fourth Proportional to 8,234.43, 12,341.07 and 4,285.15

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Solution

The fourth proportional to 8,234.43, 12,341.07 and 4,285.15 is: 6,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.43 : 12,341.07 = 4,285.15 : x
  2. Step 2: Convert to fraction form
    8,234.43/12,341.07 = 4,285.15/x
  3. Step 3: Cross multiply
    8,234.43x = 12,341.07 × 4,285.15
  4. Step 4: Simplify right side
    8,234.43x = 52,883,305.26
  5. Step 5: Solve for x
    x = 52,883,305.26/8,234.43
  6. Step 6: Final answer
    x = 6,422.22

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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.