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Finding the Fourth Proportional to 5,339.92, 7,998.94 and 3,142.12

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Solution

The fourth proportional to 5,339.92, 7,998.94 and 3,142.12 is: 4,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.92 : 7,998.94 = 3,142.12 : x
  2. Step 2: Convert to fraction form
    5,339.92/7,998.94 = 3,142.12/x
  3. Step 3: Cross multiply
    5,339.92x = 7,998.94 × 3,142.12
  4. Step 4: Simplify right side
    5,339.92x = 25,133,629.35
  5. Step 5: Solve for x
    x = 25,133,629.35/5,339.92
  6. Step 6: Final answer
    x = 4,706.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.