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Finding the Fourth Proportional to 12,768.63, 17,622.77 and 7,462.41

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Solution

The fourth proportional to 12,768.63, 17,622.77 and 7,462.41 is: 10,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.63 : 17,622.77 = 7,462.41 : x
  2. Step 2: Convert to fraction form
    12,768.63/17,622.77 = 7,462.41/x
  3. Step 3: Cross multiply
    12,768.63x = 17,622.77 × 7,462.41
  4. Step 4: Simplify right side
    12,768.63x = 131,508,335.08
  5. Step 5: Solve for x
    x = 131,508,335.08/12,768.63
  6. Step 6: Final answer
    x = 10,299.33

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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.