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Finding the Fourth Proportional to 3,438.99, 5,158.49 and 1,977.21

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Solution

The fourth proportional to 3,438.99, 5,158.49 and 1,977.21 is: 2,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.99 : 5,158.49 = 1,977.21 : x
  2. Step 2: Convert to fraction form
    3,438.99/5,158.49 = 1,977.21/x
  3. Step 3: Cross multiply
    3,438.99x = 5,158.49 × 1,977.21
  4. Step 4: Simplify right side
    3,438.99x = 10,199,408.13
  5. Step 5: Solve for x
    x = 10,199,408.13/3,438.99
  6. Step 6: Final answer
    x = 2,965.82

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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.