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Finding the Fourth Proportional to 31,996.89, 47,997.90 and 8,622.99

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Solution

The fourth proportional to 31,996.89, 47,997.90 and 8,622.99 is: 12,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,996.89 : 47,997.90 = 8,622.99 : x
  2. Step 2: Convert to fraction form
    31,996.89/47,997.90 = 8,622.99/x
  3. Step 3: Cross multiply
    31,996.89x = 47,997.90 × 8,622.99
  4. Step 4: Simplify right side
    31,996.89x = 413,885,411.72
  5. Step 5: Solve for x
    x = 413,885,411.72/31,996.89
  6. Step 6: Final answer
    x = 12,935.18

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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.