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Finding the Fourth Proportional to 7,808.26, 10,776.60 and 4,976.86

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Solution

The fourth proportional to 7,808.26, 10,776.60 and 4,976.86 is: 6,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.26 : 10,776.60 = 4,976.86 : x
  2. Step 2: Convert to fraction form
    7,808.26/10,776.60 = 4,976.86/x
  3. Step 3: Cross multiply
    7,808.26x = 10,776.60 × 4,976.86
  4. Step 4: Simplify right side
    7,808.26x = 53,633,629.48
  5. Step 5: Solve for x
    x = 53,633,629.48/7,808.26
  6. Step 6: Final answer
    x = 6,868.83

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