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Finding the Fourth Proportional to 13,466.82, 20,218.13 and 11,505.06

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Solution

The fourth proportional to 13,466.82, 20,218.13 and 11,505.06 is: 17,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.82 : 20,218.13 = 11,505.06 : x
  2. Step 2: Convert to fraction form
    13,466.82/20,218.13 = 11,505.06/x
  3. Step 3: Cross multiply
    13,466.82x = 20,218.13 × 11,505.06
  4. Step 4: Simplify right side
    13,466.82x = 232,610,798.74
  5. Step 5: Solve for x
    x = 232,610,798.74/13,466.82
  6. Step 6: Final answer
    x = 17,272.88

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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.