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Finding the Fourth Proportional to 9,976.23, 13,772.75 and 7,847.55

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Solution

The fourth proportional to 9,976.23, 13,772.75 and 7,847.55 is: 10,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.23 : 13,772.75 = 7,847.55 : x
  2. Step 2: Convert to fraction form
    9,976.23/13,772.75 = 7,847.55/x
  3. Step 3: Cross multiply
    9,976.23x = 13,772.75 × 7,847.55
  4. Step 4: Simplify right side
    9,976.23x = 108,082,305.02
  5. Step 5: Solve for x
    x = 108,082,305.02/9,976.23
  6. Step 6: Final answer
    x = 10,833.98

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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.