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Finding the Fourth Proportional to 6,997.78, 9,649.38 and 4,755.16

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Solution

The fourth proportional to 6,997.78, 9,649.38 and 4,755.16 is: 6,556.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.78 : 9,649.38 = 4,755.16 : x
  2. Step 2: Convert to fraction form
    6,997.78/9,649.38 = 4,755.16/x
  3. Step 3: Cross multiply
    6,997.78x = 9,649.38 × 4,755.16
  4. Step 4: Simplify right side
    6,997.78x = 45,884,345.80
  5. Step 5: Solve for x
    x = 45,884,345.80/6,997.78
  6. Step 6: Final answer
    x = 6,556.99

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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.