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Finding the Fourth Proportional to 3,128.74, 4,694.74 and 2,270.14

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Solution

The fourth proportional to 3,128.74, 4,694.74 and 2,270.14 is: 3,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.74 : 4,694.74 = 2,270.14 : x
  2. Step 2: Convert to fraction form
    3,128.74/4,694.74 = 2,270.14/x
  3. Step 3: Cross multiply
    3,128.74x = 4,694.74 × 2,270.14
  4. Step 4: Simplify right side
    3,128.74x = 10,657,717.06
  5. Step 5: Solve for x
    x = 10,657,717.06/3,128.74
  6. Step 6: Final answer
    x = 3,406.39

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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.