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Finding the Fourth Proportional to 3,792.80, 5,692.10 and 1,943.75

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Solution

The fourth proportional to 3,792.80, 5,692.10 and 1,943.75 is: 2,917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.80 : 5,692.10 = 1,943.75 : x
  2. Step 2: Convert to fraction form
    3,792.80/5,692.10 = 1,943.75/x
  3. Step 3: Cross multiply
    3,792.80x = 5,692.10 × 1,943.75
  4. Step 4: Simplify right side
    3,792.80x = 11,063,981.20
  5. Step 5: Solve for x
    x = 11,063,981.20/3,792.80
  6. Step 6: Final answer
    x = 2,917.10

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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.