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Finding the Fourth Proportional to 3,628, 5,442.69 and 1,162.84

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Solution

The fourth proportional to 3,628, 5,442.69 and 1,162.84 is: 1,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628 : 5,442.69 = 1,162.84 : x
  2. Step 2: Convert to fraction form
    3,628/5,442.69 = 1,162.84/x
  3. Step 3: Cross multiply
    3,628x = 5,442.69 × 1,162.84
  4. Step 4: Simplify right side
    3,628x = 6,328,977.64
  5. Step 5: Solve for x
    x = 6,328,977.64/3,628
  6. Step 6: Final answer
    x = 1,744.48

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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.