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Finding the Fourth Proportional to 6,142.92, 8,474.54 and 4,152.75

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Solution

The fourth proportional to 6,142.92, 8,474.54 and 4,152.75 is: 5,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.92 : 8,474.54 = 4,152.75 : x
  2. Step 2: Convert to fraction form
    6,142.92/8,474.54 = 4,152.75/x
  3. Step 3: Cross multiply
    6,142.92x = 8,474.54 × 4,152.75
  4. Step 4: Simplify right side
    6,142.92x = 35,192,625.22
  5. Step 5: Solve for x
    x = 35,192,625.22/6,142.92
  6. Step 6: Final answer
    x = 5,728.97

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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.