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Finding the Fourth Proportional to 8,107.50, 11,188.35 and 5,624.94

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Solution

The fourth proportional to 8,107.50, 11,188.35 and 5,624.94 is: 7,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.50 : 11,188.35 = 5,624.94 : x
  2. Step 2: Convert to fraction form
    8,107.50/11,188.35 = 5,624.94/x
  3. Step 3: Cross multiply
    8,107.50x = 11,188.35 × 5,624.94
  4. Step 4: Simplify right side
    8,107.50x = 62,933,797.45
  5. Step 5: Solve for x
    x = 62,933,797.45/8,107.50
  6. Step 6: Final answer
    x = 7,762.42

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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.