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Finding the Fourth Proportional to 2,747.84, 4,118.40 and 1,448.48

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Solution

The fourth proportional to 2,747.84, 4,118.40 and 1,448.48 is: 2,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.84 : 4,118.40 = 1,448.48 : x
  2. Step 2: Convert to fraction form
    2,747.84/4,118.40 = 1,448.48/x
  3. Step 3: Cross multiply
    2,747.84x = 4,118.40 × 1,448.48
  4. Step 4: Simplify right side
    2,747.84x = 5,965,420.03
  5. Step 5: Solve for x
    x = 5,965,420.03/2,747.84
  6. Step 6: Final answer
    x = 2,170.95

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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.