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Finding the Fourth Proportional to 7,997.40, 11,047.16 and 7,252.20

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Solution

The fourth proportional to 7,997.40, 11,047.16 and 7,252.20 is: 10,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.40 : 11,047.16 = 7,252.20 : x
  2. Step 2: Convert to fraction form
    7,997.40/11,047.16 = 7,252.20/x
  3. Step 3: Cross multiply
    7,997.40x = 11,047.16 × 7,252.20
  4. Step 4: Simplify right side
    7,997.40x = 80,116,213.75
  5. Step 5: Solve for x
    x = 80,116,213.75/7,997.40
  6. Step 6: Final answer
    x = 10,017.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.