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Finding the Fourth Proportional to 12,800.22, 19,188 and 6,563.16

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Solution

The fourth proportional to 12,800.22, 19,188 and 6,563.16 is: 9,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.22 : 19,188 = 6,563.16 : x
  2. Step 2: Convert to fraction form
    12,800.22/19,188 = 6,563.16/x
  3. Step 3: Cross multiply
    12,800.22x = 19,188 × 6,563.16
  4. Step 4: Simplify right side
    12,800.22x = 125,933,914.08
  5. Step 5: Solve for x
    x = 125,933,914.08/12,800.22
  6. Step 6: Final answer
    x = 9,838.42

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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.