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Finding the Fourth Proportional to 11,724.52, 16,179.68 and 6,419.22

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Solution

The fourth proportional to 11,724.52, 16,179.68 and 6,419.22 is: 8,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724.52 : 16,179.68 = 6,419.22 : x
  2. Step 2: Convert to fraction form
    11,724.52/16,179.68 = 6,419.22/x
  3. Step 3: Cross multiply
    11,724.52x = 16,179.68 × 6,419.22
  4. Step 4: Simplify right side
    11,724.52x = 103,860,925.45
  5. Step 5: Solve for x
    x = 103,860,925.45/11,724.52
  6. Step 6: Final answer
    x = 8,858.44

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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.