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Finding the Fourth Proportional to 11,618.80, 16,033.97 and 6,313.64

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Solution

The fourth proportional to 11,618.80, 16,033.97 and 6,313.64 is: 8,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.80 : 16,033.97 = 6,313.64 : x
  2. Step 2: Convert to fraction form
    11,618.80/16,033.97 = 6,313.64/x
  3. Step 3: Cross multiply
    11,618.80x = 16,033.97 × 6,313.64
  4. Step 4: Simplify right side
    11,618.80x = 101,232,649.97
  5. Step 5: Solve for x
    x = 101,232,649.97/11,618.80
  6. Step 6: Final answer
    x = 8,712.83

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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.