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Finding the Fourth Proportional to 9,997.70, 14,960.10 and 9,122.90

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Solution

The fourth proportional to 9,997.70, 14,960.10 and 9,122.90 is: 13,651.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.70 : 14,960.10 = 9,122.90 : x
  2. Step 2: Convert to fraction form
    9,997.70/14,960.10 = 9,122.90/x
  3. Step 3: Cross multiply
    9,997.70x = 14,960.10 × 9,122.90
  4. Step 4: Simplify right side
    9,997.70x = 136,479,496.29
  5. Step 5: Solve for x
    x = 136,479,496.29/9,997.70
  6. Step 6: Final answer
    x = 13,651.09

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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.