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Finding the Fourth Proportional to 8,124.00, 12,188.73 and 5,491.40

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Solution

The fourth proportional to 8,124.00, 12,188.73 and 5,491.40 is: 8,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.00 : 12,188.73 = 5,491.40 : x
  2. Step 2: Convert to fraction form
    8,124.00/12,188.73 = 5,491.40/x
  3. Step 3: Cross multiply
    8,124.00x = 12,188.73 × 5,491.40
  4. Step 4: Simplify right side
    8,124.00x = 66,933,120.68
  5. Step 5: Solve for x
    x = 66,933,120.68/8,124.00
  6. Step 6: Final answer
    x = 8,238.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.