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Finding the Fourth Proportional to 7,863.92, 10,838.66 and 6,743.42

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Solution

The fourth proportional to 7,863.92, 10,838.66 and 6,743.42 is: 9,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.92 : 10,838.66 = 6,743.42 : x
  2. Step 2: Convert to fraction form
    7,863.92/10,838.66 = 6,743.42/x
  3. Step 3: Cross multiply
    7,863.92x = 10,838.66 × 6,743.42
  4. Step 4: Simplify right side
    7,863.92x = 73,089,636.62
  5. Step 5: Solve for x
    x = 73,089,636.62/7,863.92
  6. Step 6: Final answer
    x = 9,294.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.