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Finding the Fourth Proportional to 3,462.51, 4,773.78 and 2,342.64

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Solution

The fourth proportional to 3,462.51, 4,773.78 and 2,342.64 is: 3,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.51 : 4,773.78 = 2,342.64 : x
  2. Step 2: Convert to fraction form
    3,462.51/4,773.78 = 2,342.64/x
  3. Step 3: Cross multiply
    3,462.51x = 4,773.78 × 2,342.64
  4. Step 4: Simplify right side
    3,462.51x = 11,183,247.98
  5. Step 5: Solve for x
    x = 11,183,247.98/3,462.51
  6. Step 6: Final answer
    x = 3,229.81

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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.