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Finding the Fourth Proportional to 31,997.52, 47,996.10 and 8,305.05

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Solution

The fourth proportional to 31,997.52, 47,996.10 and 8,305.05 is: 12,457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997.52 : 47,996.10 = 8,305.05 : x
  2. Step 2: Convert to fraction form
    31,997.52/47,996.10 = 8,305.05/x
  3. Step 3: Cross multiply
    31,997.52x = 47,996.10 × 8,305.05
  4. Step 4: Simplify right side
    31,997.52x = 398,610,010.31
  5. Step 5: Solve for x
    x = 398,610,010.31/31,997.52
  6. Step 6: Final answer
    x = 12,457.53

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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.