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Finding the Fourth Proportional to 7,185.14, 10,777.71 and 2,255.16

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Solution

The fourth proportional to 7,185.14, 10,777.71 and 2,255.16 is: 3,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.14 : 10,777.71 = 2,255.16 : x
  2. Step 2: Convert to fraction form
    7,185.14/10,777.71 = 2,255.16/x
  3. Step 3: Cross multiply
    7,185.14x = 10,777.71 × 2,255.16
  4. Step 4: Simplify right side
    7,185.14x = 24,305,460.48
  5. Step 5: Solve for x
    x = 24,305,460.48/7,185.14
  6. Step 6: Final answer
    x = 3,382.74

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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.