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Finding the Fourth Proportional to 8,443.24, 11,648.10 and 5,649.64

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Solution

The fourth proportional to 8,443.24, 11,648.10 and 5,649.64 is: 7,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.24 : 11,648.10 = 5,649.64 : x
  2. Step 2: Convert to fraction form
    8,443.24/11,648.10 = 5,649.64/x
  3. Step 3: Cross multiply
    8,443.24x = 11,648.10 × 5,649.64
  4. Step 4: Simplify right side
    8,443.24x = 65,807,571.68
  5. Step 5: Solve for x
    x = 65,807,571.68/8,443.24
  6. Step 6: Final answer
    x = 7,794.11

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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.