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Finding the Fourth Proportional to 10,974.89, 15,144.20 and 6,194.42

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Solution

The fourth proportional to 10,974.89, 15,144.20 and 6,194.42 is: 8,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.89 : 15,144.20 = 6,194.42 : x
  2. Step 2: Convert to fraction form
    10,974.89/15,144.20 = 6,194.42/x
  3. Step 3: Cross multiply
    10,974.89x = 15,144.20 × 6,194.42
  4. Step 4: Simplify right side
    10,974.89x = 93,809,504.39
  5. Step 5: Solve for x
    x = 93,809,504.39/10,974.89
  6. Step 6: Final answer
    x = 8,547.65

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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.