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Finding the Fourth Proportional to 11,173.50, 15,419.84 and 6,138.19

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Solution

The fourth proportional to 11,173.50, 15,419.84 and 6,138.19 is: 8,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173.50 : 15,419.84 = 6,138.19 : x
  2. Step 2: Convert to fraction form
    11,173.50/15,419.84 = 6,138.19/x
  3. Step 3: Cross multiply
    11,173.50x = 15,419.84 × 6,138.19
  4. Step 4: Simplify right side
    11,173.50x = 94,649,896.27
  5. Step 5: Solve for x
    x = 94,649,896.27/11,173.50
  6. Step 6: Final answer
    x = 8,470.93

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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.