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Finding the Fourth Proportional to 12,408.82, 17,124.33 and 6,743.68

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Solution

The fourth proportional to 12,408.82, 17,124.33 and 6,743.68 is: 9,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.82 : 17,124.33 = 6,743.68 : x
  2. Step 2: Convert to fraction form
    12,408.82/17,124.33 = 6,743.68/x
  3. Step 3: Cross multiply
    12,408.82x = 17,124.33 × 6,743.68
  4. Step 4: Simplify right side
    12,408.82x = 115,480,916.11
  5. Step 5: Solve for x
    x = 115,480,916.11/12,408.82
  6. Step 6: Final answer
    x = 9,306.36

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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.