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Finding the Fourth Proportional to 11,778.91, 16,254.89 and 6,474.06

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Solution

The fourth proportional to 11,778.91, 16,254.89 and 6,474.06 is: 8,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.91 : 16,254.89 = 6,474.06 : x
  2. Step 2: Convert to fraction form
    11,778.91/16,254.89 = 6,474.06/x
  3. Step 3: Cross multiply
    11,778.91x = 16,254.89 × 6,474.06
  4. Step 4: Simplify right side
    11,778.91x = 105,235,133.15
  5. Step 5: Solve for x
    x = 105,235,133.15/11,778.91
  6. Step 6: Final answer
    x = 8,934.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.