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Finding the Fourth Proportional to 7,847.74, 10,806.20 and 6,783.62

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Solution

The fourth proportional to 7,847.74, 10,806.20 and 6,783.62 is: 9,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.74 : 10,806.20 = 6,783.62 : x
  2. Step 2: Convert to fraction form
    7,847.74/10,806.20 = 6,783.62/x
  3. Step 3: Cross multiply
    7,847.74x = 10,806.20 × 6,783.62
  4. Step 4: Simplify right side
    7,847.74x = 73,305,154.44
  5. Step 5: Solve for x
    x = 73,305,154.44/7,847.74
  6. Step 6: Final answer
    x = 9,340.93

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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.