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Finding the Fourth Proportional to 9,997.98, 15,001.29 and 5,384.22

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Solution

The fourth proportional to 9,997.98, 15,001.29 and 5,384.22 is: 8,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.98 : 15,001.29 = 5,384.22 : x
  2. Step 2: Convert to fraction form
    9,997.98/15,001.29 = 5,384.22/x
  3. Step 3: Cross multiply
    9,997.98x = 15,001.29 × 5,384.22
  4. Step 4: Simplify right side
    9,997.98x = 80,770,245.64
  5. Step 5: Solve for x
    x = 80,770,245.64/9,997.98
  6. Step 6: Final answer
    x = 8,078.66

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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.