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Finding the Fourth Proportional to 11,649.58, 16,081.05 and 8,114.74

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Solution

The fourth proportional to 11,649.58, 16,081.05 and 8,114.74 is: 11,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.58 : 16,081.05 = 8,114.74 : x
  2. Step 2: Convert to fraction form
    11,649.58/16,081.05 = 8,114.74/x
  3. Step 3: Cross multiply
    11,649.58x = 16,081.05 × 8,114.74
  4. Step 4: Simplify right side
    11,649.58x = 130,493,539.68
  5. Step 5: Solve for x
    x = 130,493,539.68/11,649.58
  6. Step 6: Final answer
    x = 11,201.57

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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.