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Finding the Fourth Proportional to 8,563.70, 11,822.79 and 5,735.86

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Solution

The fourth proportional to 8,563.70, 11,822.79 and 5,735.86 is: 7,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.70 : 11,822.79 = 5,735.86 : x
  2. Step 2: Convert to fraction form
    8,563.70/11,822.79 = 5,735.86/x
  3. Step 3: Cross multiply
    8,563.70x = 11,822.79 × 5,735.86
  4. Step 4: Simplify right side
    8,563.70x = 67,813,878.31
  5. Step 5: Solve for x
    x = 67,813,878.31/8,563.70
  6. Step 6: Final answer
    x = 7,918.76

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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.