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Finding the Fourth Proportional to 3,625, 5,002.56 and 1,969

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Solution

The fourth proportional to 3,625, 5,002.56 and 1,969 is: 2,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625 : 5,002.56 = 1,969 : x
  2. Step 2: Convert to fraction form
    3,625/5,002.56 = 1,969/x
  3. Step 3: Cross multiply
    3,625x = 5,002.56 × 1,969
  4. Step 4: Simplify right side
    3,625x = 9,850,040.64
  5. Step 5: Solve for x
    x = 9,850,040.64/3,625
  6. Step 6: Final answer
    x = 2,717.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.