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Finding the Fourth Proportional to 4,195.67, 5,792.56 and 2,780.56

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Solution

The fourth proportional to 4,195.67, 5,792.56 and 2,780.56 is: 3,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.67 : 5,792.56 = 2,780.56 : x
  2. Step 2: Convert to fraction form
    4,195.67/5,792.56 = 2,780.56/x
  3. Step 3: Cross multiply
    4,195.67x = 5,792.56 × 2,780.56
  4. Step 4: Simplify right side
    4,195.67x = 16,106,560.63
  5. Step 5: Solve for x
    x = 16,106,560.63/4,195.67
  6. Step 6: Final answer
    x = 3,838.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.