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Finding the Fourth Proportional to 6,649.99, 9,177 and 3,997.45

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Solution

The fourth proportional to 6,649.99, 9,177 and 3,997.45 is: 5,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.99 : 9,177 = 3,997.45 : x
  2. Step 2: Convert to fraction form
    6,649.99/9,177 = 3,997.45/x
  3. Step 3: Cross multiply
    6,649.99x = 9,177 × 3,997.45
  4. Step 4: Simplify right side
    6,649.99x = 36,684,598.65
  5. Step 5: Solve for x
    x = 36,684,598.65/6,649.99
  6. Step 6: Final answer
    x = 5,516.49

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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.