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Finding the Fourth Proportional to 3,448.31, 5,172.47 and 851.25

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Solution

The fourth proportional to 3,448.31, 5,172.47 and 851.25 is: 1,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.31 : 5,172.47 = 851.25 : x
  2. Step 2: Convert to fraction form
    3,448.31/5,172.47 = 851.25/x
  3. Step 3: Cross multiply
    3,448.31x = 5,172.47 × 851.25
  4. Step 4: Simplify right side
    3,448.31x = 4,403,065.09
  5. Step 5: Solve for x
    x = 4,403,065.09/3,448.31
  6. Step 6: Final answer
    x = 1,276.88

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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.