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Finding the Fourth Proportional to 7,843.36, 10,819.75 and 6,352.96

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Solution

The fourth proportional to 7,843.36, 10,819.75 and 6,352.96 is: 8,763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.36 : 10,819.75 = 6,352.96 : x
  2. Step 2: Convert to fraction form
    7,843.36/10,819.75 = 6,352.96/x
  3. Step 3: Cross multiply
    7,843.36x = 10,819.75 × 6,352.96
  4. Step 4: Simplify right side
    7,843.36x = 68,737,353.10
  5. Step 5: Solve for x
    x = 68,737,353.10/7,843.36
  6. Step 6: Final answer
    x = 8,763.77

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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.