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Finding the Fourth Proportional to 3,491.26, 4,817.95 and 1,919.45

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Solution

The fourth proportional to 3,491.26, 4,817.95 and 1,919.45 is: 2,648.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.26 : 4,817.95 = 1,919.45 : x
  2. Step 2: Convert to fraction form
    3,491.26/4,817.95 = 1,919.45/x
  3. Step 3: Cross multiply
    3,491.26x = 4,817.95 × 1,919.45
  4. Step 4: Simplify right side
    3,491.26x = 9,247,814.13
  5. Step 5: Solve for x
    x = 9,247,814.13/3,491.26
  6. Step 6: Final answer
    x = 2,648.85

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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.