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Finding the Fourth Proportional to 3,977.66, 5,483.94 and 3,424.07

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Solution

The fourth proportional to 3,977.66, 5,483.94 and 3,424.07 is: 4,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.66 : 5,483.94 = 3,424.07 : x
  2. Step 2: Convert to fraction form
    3,977.66/5,483.94 = 3,424.07/x
  3. Step 3: Cross multiply
    3,977.66x = 5,483.94 × 3,424.07
  4. Step 4: Simplify right side
    3,977.66x = 18,777,367.02
  5. Step 5: Solve for x
    x = 18,777,367.02/3,977.66
  6. Step 6: Final answer
    x = 4,720.71

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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.