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Finding the Fourth Proportional to 3,905.80, 5,830.87 and 3,769.12

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Solution

The fourth proportional to 3,905.80, 5,830.87 and 3,769.12 is: 5,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.80 : 5,830.87 = 3,769.12 : x
  2. Step 2: Convert to fraction form
    3,905.80/5,830.87 = 3,769.12/x
  3. Step 3: Cross multiply
    3,905.80x = 5,830.87 × 3,769.12
  4. Step 4: Simplify right side
    3,905.80x = 21,977,248.73
  5. Step 5: Solve for x
    x = 21,977,248.73/3,905.80
  6. Step 6: Final answer
    x = 5,626.82

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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.