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Finding the Fourth Proportional to 11,724.65, 16,179.98 and 6,419.42

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Solution

The fourth proportional to 11,724.65, 16,179.98 and 6,419.42 is: 8,858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724.65 : 16,179.98 = 6,419.42 : x
  2. Step 2: Convert to fraction form
    11,724.65/16,179.98 = 6,419.42/x
  3. Step 3: Cross multiply
    11,724.65x = 16,179.98 × 6,419.42
  4. Step 4: Simplify right side
    11,724.65x = 103,865,974.21
  5. Step 5: Solve for x
    x = 103,865,974.21/11,724.65
  6. Step 6: Final answer
    x = 8,858.77

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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.