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Finding the Fourth Proportional to 5,648.79, 7,796.64 and 3,760.46

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Solution

The fourth proportional to 5,648.79, 7,796.64 and 3,760.46 is: 5,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.79 : 7,796.64 = 3,760.46 : x
  2. Step 2: Convert to fraction form
    5,648.79/7,796.64 = 3,760.46/x
  3. Step 3: Cross multiply
    5,648.79x = 7,796.64 × 3,760.46
  4. Step 4: Simplify right side
    5,648.79x = 29,318,913.87
  5. Step 5: Solve for x
    x = 29,318,913.87/5,648.79
  6. Step 6: Final answer
    x = 5,190.30

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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.