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Finding the Fourth Proportional to 3,625.96, 5,439 and 1,028.96

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Solution

The fourth proportional to 3,625.96, 5,439 and 1,028.96 is: 1,543.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.96 : 5,439 = 1,028.96 : x
  2. Step 2: Convert to fraction form
    3,625.96/5,439 = 1,028.96/x
  3. Step 3: Cross multiply
    3,625.96x = 5,439 × 1,028.96
  4. Step 4: Simplify right side
    3,625.96x = 5,596,513.44
  5. Step 5: Solve for x
    x = 5,596,513.44/3,625.96
  6. Step 6: Final answer
    x = 1,543.46

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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.