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Finding the Fourth Proportional to 8,649.57, 11,923.97 and 6,161.25

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Solution

The fourth proportional to 8,649.57, 11,923.97 and 6,161.25 is: 8,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.57 : 11,923.97 = 6,161.25 : x
  2. Step 2: Convert to fraction form
    8,649.57/11,923.97 = 6,161.25/x
  3. Step 3: Cross multiply
    8,649.57x = 11,923.97 × 6,161.25
  4. Step 4: Simplify right side
    8,649.57x = 73,466,529.36
  5. Step 5: Solve for x
    x = 73,466,529.36/8,649.57
  6. Step 6: Final answer
    x = 8,493.66

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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.