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Finding the Fourth Proportional to 2,941.92, 4,401.84 and 1,772.40

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Solution

The fourth proportional to 2,941.92, 4,401.84 and 1,772.40 is: 2,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.92 : 4,401.84 = 1,772.40 : x
  2. Step 2: Convert to fraction form
    2,941.92/4,401.84 = 1,772.40/x
  3. Step 3: Cross multiply
    2,941.92x = 4,401.84 × 1,772.40
  4. Step 4: Simplify right side
    2,941.92x = 7,801,821.22
  5. Step 5: Solve for x
    x = 7,801,821.22/2,941.92
  6. Step 6: Final answer
    x = 2,651.95

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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.