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Finding the Fourth Proportional to 12,351.15, 18,513.13 and 6,101.91

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Solution

The fourth proportional to 12,351.15, 18,513.13 and 6,101.91 is: 9,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.15 : 18,513.13 = 6,101.91 : x
  2. Step 2: Convert to fraction form
    12,351.15/18,513.13 = 6,101.91/x
  3. Step 3: Cross multiply
    12,351.15x = 18,513.13 × 6,101.91
  4. Step 4: Simplify right side
    12,351.15x = 112,965,453.08
  5. Step 5: Solve for x
    x = 112,965,453.08/12,351.15
  6. Step 6: Final answer
    x = 9,146.15

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