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Finding the Fourth Proportional to 6,649.36, 9,969.42 and 2,949.56

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Solution

The fourth proportional to 6,649.36, 9,969.42 and 2,949.56 is: 4,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.36 : 9,969.42 = 2,949.56 : x
  2. Step 2: Convert to fraction form
    6,649.36/9,969.42 = 2,949.56/x
  3. Step 3: Cross multiply
    6,649.36x = 9,969.42 × 2,949.56
  4. Step 4: Simplify right side
    6,649.36x = 29,405,402.46
  5. Step 5: Solve for x
    x = 29,405,402.46/6,649.36
  6. Step 6: Final answer
    x = 4,422.29

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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.