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Finding the Fourth Proportional to 2,491.84, 3,438.72 and 1,444

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Solution

The fourth proportional to 2,491.84, 3,438.72 and 1,444 is: 1,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.84 : 3,438.72 = 1,444 : x
  2. Step 2: Convert to fraction form
    2,491.84/3,438.72 = 1,444/x
  3. Step 3: Cross multiply
    2,491.84x = 3,438.72 × 1,444
  4. Step 4: Simplify right side
    2,491.84x = 4,965,511.68
  5. Step 5: Solve for x
    x = 4,965,511.68/2,491.84
  6. Step 6: Final answer
    x = 1,992.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.