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Finding the Fourth Proportional to 5,185, 7,778.46 and 2,449

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Solution

The fourth proportional to 5,185, 7,778.46 and 2,449 is: 3,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185 : 7,778.46 = 2,449 : x
  2. Step 2: Convert to fraction form
    5,185/7,778.46 = 2,449/x
  3. Step 3: Cross multiply
    5,185x = 7,778.46 × 2,449
  4. Step 4: Simplify right side
    5,185x = 19,049,448.54
  5. Step 5: Solve for x
    x = 19,049,448.54/5,185
  6. Step 6: Final answer
    x = 3,673.95

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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.