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Finding the Fourth Proportional to 11,144.74, 15,380.02 and 6,109.18

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Solution

The fourth proportional to 11,144.74, 15,380.02 and 6,109.18 is: 8,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.74 : 15,380.02 = 6,109.18 : x
  2. Step 2: Convert to fraction form
    11,144.74/15,380.02 = 6,109.18/x
  3. Step 3: Cross multiply
    11,144.74x = 15,380.02 × 6,109.18
  4. Step 4: Simplify right side
    11,144.74x = 93,959,310.58
  5. Step 5: Solve for x
    x = 93,959,310.58/11,144.74
  6. Step 6: Final answer
    x = 8,430.82

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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.