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Finding the Fourth Proportional to 2,938.20, 4,408.04 and 2,074.20

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Solution

The fourth proportional to 2,938.20, 4,408.04 and 2,074.20 is: 3,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.20 : 4,408.04 = 2,074.20 : x
  2. Step 2: Convert to fraction form
    2,938.20/4,408.04 = 2,074.20/x
  3. Step 3: Cross multiply
    2,938.20x = 4,408.04 × 2,074.20
  4. Step 4: Simplify right side
    2,938.20x = 9,143,156.57
  5. Step 5: Solve for x
    x = 9,143,156.57/2,938.20
  6. Step 6: Final answer
    x = 3,111.82

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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.