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Finding the Fourth Proportional to 8,649.74, 11,939.46 and 6,410.90

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Solution

The fourth proportional to 8,649.74, 11,939.46 and 6,410.90 is: 8,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.74 : 11,939.46 = 6,410.90 : x
  2. Step 2: Convert to fraction form
    8,649.74/11,939.46 = 6,410.90/x
  3. Step 3: Cross multiply
    8,649.74x = 11,939.46 × 6,410.90
  4. Step 4: Simplify right side
    8,649.74x = 76,542,684.11
  5. Step 5: Solve for x
    x = 76,542,684.11/8,649.74
  6. Step 6: Final answer
    x = 8,849.13

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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.