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Finding the Fourth Proportional to 3,381.75, 5,069.69 and 1,625.87

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Solution

The fourth proportional to 3,381.75, 5,069.69 and 1,625.87 is: 2,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.75 : 5,069.69 = 1,625.87 : x
  2. Step 2: Convert to fraction form
    3,381.75/5,069.69 = 1,625.87/x
  3. Step 3: Cross multiply
    3,381.75x = 5,069.69 × 1,625.87
  4. Step 4: Simplify right side
    3,381.75x = 8,242,656.88
  5. Step 5: Solve for x
    x = 8,242,656.88/3,381.75
  6. Step 6: Final answer
    x = 2,437.39

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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.