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Finding the Fourth Proportional to 9,278.53, 13,895.92 and 7,181.74

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Solution

The fourth proportional to 9,278.53, 13,895.92 and 7,181.74 is: 10,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.53 : 13,895.92 = 7,181.74 : x
  2. Step 2: Convert to fraction form
    9,278.53/13,895.92 = 7,181.74/x
  3. Step 3: Cross multiply
    9,278.53x = 13,895.92 × 7,181.74
  4. Step 4: Simplify right side
    9,278.53x = 99,796,884.50
  5. Step 5: Solve for x
    x = 99,796,884.50/9,278.53
  6. Step 6: Final answer
    x = 10,755.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.