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Finding the Fourth Proportional to 12,800.36, 17,663.76 and 7,134.80

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Solution

The fourth proportional to 12,800.36, 17,663.76 and 7,134.80 is: 9,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.36 : 17,663.76 = 7,134.80 : x
  2. Step 2: Convert to fraction form
    12,800.36/17,663.76 = 7,134.80/x
  3. Step 3: Cross multiply
    12,800.36x = 17,663.76 × 7,134.80
  4. Step 4: Simplify right side
    12,800.36x = 126,027,394.85
  5. Step 5: Solve for x
    x = 126,027,394.85/12,800.36
  6. Step 6: Final answer
    x = 9,845.61

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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.