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Finding the Fourth Proportional to 6,754.54, 10,133.42 and 3,056.78

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Solution

The fourth proportional to 6,754.54, 10,133.42 and 3,056.78 is: 4,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.54 : 10,133.42 = 3,056.78 : x
  2. Step 2: Convert to fraction form
    6,754.54/10,133.42 = 3,056.78/x
  3. Step 3: Cross multiply
    6,754.54x = 10,133.42 × 3,056.78
  4. Step 4: Simplify right side
    6,754.54x = 30,975,635.59
  5. Step 5: Solve for x
    x = 30,975,635.59/6,754.54
  6. Step 6: Final answer
    x = 4,585.90

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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.