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Finding the Fourth Proportional to 3,448.30, 5,172.54 and 851.26

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Solution

The fourth proportional to 3,448.30, 5,172.54 and 851.26 is: 1,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.30 : 5,172.54 = 851.26 : x
  2. Step 2: Convert to fraction form
    3,448.30/5,172.54 = 851.26/x
  3. Step 3: Cross multiply
    3,448.30x = 5,172.54 × 851.26
  4. Step 4: Simplify right side
    3,448.30x = 4,403,176.40
  5. Step 5: Solve for x
    x = 4,403,176.40/3,448.30
  6. Step 6: Final answer
    x = 1,276.91

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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.