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Finding the Fourth Proportional to 11,649.41, 16,079.08 and 7,176.99

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Solution

The fourth proportional to 11,649.41, 16,079.08 and 7,176.99 is: 9,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.41 : 16,079.08 = 7,176.99 : x
  2. Step 2: Convert to fraction form
    11,649.41/16,079.08 = 7,176.99/x
  3. Step 3: Cross multiply
    11,649.41x = 16,079.08 × 7,176.99
  4. Step 4: Simplify right side
    11,649.41x = 115,399,452.18
  5. Step 5: Solve for x
    x = 115,399,452.18/11,649.41
  6. Step 6: Final answer
    x = 9,906.04

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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.