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Finding the Fourth Proportional to 2,491.97, 3,438.96 and 1,373

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Solution

The fourth proportional to 2,491.97, 3,438.96 and 1,373 is: 1,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.97 : 3,438.96 = 1,373 : x
  2. Step 2: Convert to fraction form
    2,491.97/3,438.96 = 1,373/x
  3. Step 3: Cross multiply
    2,491.97x = 3,438.96 × 1,373
  4. Step 4: Simplify right side
    2,491.97x = 4,721,692.08
  5. Step 5: Solve for x
    x = 4,721,692.08/2,491.97
  6. Step 6: Final answer
    x = 1,894.76

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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.