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Finding the Fourth Proportional to 5,491.88, 7,578.81 and 2,974.02

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Solution

The fourth proportional to 5,491.88, 7,578.81 and 2,974.02 is: 4,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.88 : 7,578.81 = 2,974.02 : x
  2. Step 2: Convert to fraction form
    5,491.88/7,578.81 = 2,974.02/x
  3. Step 3: Cross multiply
    5,491.88x = 7,578.81 × 2,974.02
  4. Step 4: Simplify right side
    5,491.88x = 22,539,532.52
  5. Step 5: Solve for x
    x = 22,539,532.52/5,491.88
  6. Step 6: Final answer
    x = 4,104.16

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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.