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Finding the Fourth Proportional to 13,789.63, 19,049.07 and 12,297.07

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Solution

The fourth proportional to 13,789.63, 19,049.07 and 12,297.07 is: 16,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.63 : 19,049.07 = 12,297.07 : x
  2. Step 2: Convert to fraction form
    13,789.63/19,049.07 = 12,297.07/x
  3. Step 3: Cross multiply
    13,789.63x = 19,049.07 × 12,297.07
  4. Step 4: Simplify right side
    13,789.63x = 234,247,747.22
  5. Step 5: Solve for x
    x = 234,247,747.22/13,789.63
  6. Step 6: Final answer
    x = 16,987.24

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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.