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Finding the Fourth Proportional to 6,997.82, 9,656.97 and 3,811.07

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Solution

The fourth proportional to 6,997.82, 9,656.97 and 3,811.07 is: 5,259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.82 : 9,656.97 = 3,811.07 : x
  2. Step 2: Convert to fraction form
    6,997.82/9,656.97 = 3,811.07/x
  3. Step 3: Cross multiply
    6,997.82x = 9,656.97 × 3,811.07
  4. Step 4: Simplify right side
    6,997.82x = 36,803,388.66
  5. Step 5: Solve for x
    x = 36,803,388.66/6,997.82
  6. Step 6: Final answer
    x = 5,259.26

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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.