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Finding the Fourth Proportional to 4,185, 6,278.48 and 1,449

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Solution

The fourth proportional to 4,185, 6,278.48 and 1,449 is: 2,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185 : 6,278.48 = 1,449 : x
  2. Step 2: Convert to fraction form
    4,185/6,278.48 = 1,449/x
  3. Step 3: Cross multiply
    4,185x = 6,278.48 × 1,449
  4. Step 4: Simplify right side
    4,185x = 9,097,517.52
  5. Step 5: Solve for x
    x = 9,097,517.52/4,185
  6. Step 6: Final answer
    x = 2,173.84

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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.