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Finding the Fourth Proportional to 7,817.38, 10,793 and 6,976.62

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Solution

The fourth proportional to 7,817.38, 10,793 and 6,976.62 is: 9,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.38 : 10,793 = 6,976.62 : x
  2. Step 2: Convert to fraction form
    7,817.38/10,793 = 6,976.62/x
  3. Step 3: Cross multiply
    7,817.38x = 10,793 × 6,976.62
  4. Step 4: Simplify right side
    7,817.38x = 75,298,659.66
  5. Step 5: Solve for x
    x = 75,298,659.66/7,817.38
  6. Step 6: Final answer
    x = 9,632.21

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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.