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Finding the Fourth Proportional to 13,514.53, 18,646.73 and 8,209.03

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Solution

The fourth proportional to 13,514.53, 18,646.73 and 8,209.03 is: 11,326.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.53 : 18,646.73 = 8,209.03 : x
  2. Step 2: Convert to fraction form
    13,514.53/18,646.73 = 8,209.03/x
  3. Step 3: Cross multiply
    13,514.53x = 18,646.73 × 8,209.03
  4. Step 4: Simplify right side
    13,514.53x = 153,071,524.93
  5. Step 5: Solve for x
    x = 153,071,524.93/13,514.53
  6. Step 6: Final answer
    x = 11,326.44

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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.