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Finding the Fourth Proportional to 3,072.71, 4,608.14 and 851.01

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Solution

The fourth proportional to 3,072.71, 4,608.14 and 851.01 is: 1,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.71 : 4,608.14 = 851.01 : x
  2. Step 2: Convert to fraction form
    3,072.71/4,608.14 = 851.01/x
  3. Step 3: Cross multiply
    3,072.71x = 4,608.14 × 851.01
  4. Step 4: Simplify right side
    3,072.71x = 3,921,564.44
  5. Step 5: Solve for x
    x = 3,921,564.44/3,072.71
  6. Step 6: Final answer
    x = 1,276.25

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Why These Related Problems?

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