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Finding the Fourth Proportional to 3,813.11, 5,720.12 and 1,347.41

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Solution

The fourth proportional to 3,813.11, 5,720.12 and 1,347.41 is: 2,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.11 : 5,720.12 = 1,347.41 : x
  2. Step 2: Convert to fraction form
    3,813.11/5,720.12 = 1,347.41/x
  3. Step 3: Cross multiply
    3,813.11x = 5,720.12 × 1,347.41
  4. Step 4: Simplify right side
    3,813.11x = 7,707,346.89
  5. Step 5: Solve for x
    x = 7,707,346.89/3,813.11
  6. Step 6: Final answer
    x = 2,021.28

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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.