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Finding the Fourth Proportional to 3,754.22, 5,625.12 and 1,287.68

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Solution

The fourth proportional to 3,754.22, 5,625.12 and 1,287.68 is: 1,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.22 : 5,625.12 = 1,287.68 : x
  2. Step 2: Convert to fraction form
    3,754.22/5,625.12 = 1,287.68/x
  3. Step 3: Cross multiply
    3,754.22x = 5,625.12 × 1,287.68
  4. Step 4: Simplify right side
    3,754.22x = 7,243,331.22
  5. Step 5: Solve for x
    x = 7,243,331.22/3,754.22
  6. Step 6: Final answer
    x = 1,929.39

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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.