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Finding the Fourth Proportional to 11,781.66, 16,259.10 and 6,476.96

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Solution

The fourth proportional to 11,781.66, 16,259.10 and 6,476.96 is: 8,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.66 : 16,259.10 = 6,476.96 : x
  2. Step 2: Convert to fraction form
    11,781.66/16,259.10 = 6,476.96/x
  3. Step 3: Cross multiply
    11,781.66x = 16,259.10 × 6,476.96
  4. Step 4: Simplify right side
    11,781.66x = 105,309,540.34
  5. Step 5: Solve for x
    x = 105,309,540.34/11,781.66
  6. Step 6: Final answer
    x = 8,938.43

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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.