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Finding the Fourth Proportional to 11,761.74, 16,231.64 and 6,456.51

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Solution

The fourth proportional to 11,761.74, 16,231.64 and 6,456.51 is: 8,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.74 : 16,231.64 = 6,456.51 : x
  2. Step 2: Convert to fraction form
    11,761.74/16,231.64 = 6,456.51/x
  3. Step 3: Cross multiply
    11,761.74x = 16,231.64 × 6,456.51
  4. Step 4: Simplify right side
    11,761.74x = 104,799,713.69
  5. Step 5: Solve for x
    x = 104,799,713.69/11,761.74
  6. Step 6: Final answer
    x = 8,910.22

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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.