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Finding the Fourth Proportional to 11,778.68, 16,254.86 and 6,474

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Solution

The fourth proportional to 11,778.68, 16,254.86 and 6,474 is: 8,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.68 : 16,254.86 = 6,474 : x
  2. Step 2: Convert to fraction form
    11,778.68/16,254.86 = 6,474/x
  3. Step 3: Cross multiply
    11,778.68x = 16,254.86 × 6,474
  4. Step 4: Simplify right side
    11,778.68x = 105,233,963.64
  5. Step 5: Solve for x
    x = 105,233,963.64/11,778.68
  6. Step 6: Final answer
    x = 8,934.27

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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.