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Finding the Fourth Proportional to 3,491.69, 5,228.19 and 2,938.10

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Solution

The fourth proportional to 3,491.69, 5,228.19 and 2,938.10 is: 4,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.69 : 5,228.19 = 2,938.10 : x
  2. Step 2: Convert to fraction form
    3,491.69/5,228.19 = 2,938.10/x
  3. Step 3: Cross multiply
    3,491.69x = 5,228.19 × 2,938.10
  4. Step 4: Simplify right side
    3,491.69x = 15,360,918.90
  5. Step 5: Solve for x
    x = 15,360,918.90/3,491.69
  6. Step 6: Final answer
    x = 4,399.29

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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.