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Finding the Fourth Proportional to 3,385, 5,078.66 and 1,825.17

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Solution

The fourth proportional to 3,385, 5,078.66 and 1,825.17 is: 2,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385 : 5,078.66 = 1,825.17 : x
  2. Step 2: Convert to fraction form
    3,385/5,078.66 = 1,825.17/x
  3. Step 3: Cross multiply
    3,385x = 5,078.66 × 1,825.17
  4. Step 4: Simplify right side
    3,385x = 9,269,417.87
  5. Step 5: Solve for x
    x = 9,269,417.87/3,385
  6. Step 6: Final answer
    x = 2,738.38

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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.