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Finding the Fourth Proportional to 3,877.89, 5,790.56 and 3,046.83

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Solution

The fourth proportional to 3,877.89, 5,790.56 and 3,046.83 is: 4,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.89 : 5,790.56 = 3,046.83 : x
  2. Step 2: Convert to fraction form
    3,877.89/5,790.56 = 3,046.83/x
  3. Step 3: Cross multiply
    3,877.89x = 5,790.56 × 3,046.83
  4. Step 4: Simplify right side
    3,877.89x = 17,642,851.92
  5. Step 5: Solve for x
    x = 17,642,851.92/3,877.89
  6. Step 6: Final answer
    x = 4,549.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.