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Finding the Fourth Proportional to 7,997.10, 11,977.11 and 7,720.26

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Solution

The fourth proportional to 7,997.10, 11,977.11 and 7,720.26 is: 11,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.10 : 11,977.11 = 7,720.26 : x
  2. Step 2: Convert to fraction form
    7,997.10/11,977.11 = 7,720.26/x
  3. Step 3: Cross multiply
    7,997.10x = 11,977.11 × 7,720.26
  4. Step 4: Simplify right side
    7,997.10x = 92,466,403.25
  5. Step 5: Solve for x
    x = 92,466,403.25/7,997.10
  6. Step 6: Final answer
    x = 11,562.49

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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.