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Finding the Fourth Proportional to 13,892.36, 19,165.28 and 8,853.88

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Solution

The fourth proportional to 13,892.36, 19,165.28 and 8,853.88 is: 12,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.36 : 19,165.28 = 8,853.88 : x
  2. Step 2: Convert to fraction form
    13,892.36/19,165.28 = 8,853.88/x
  3. Step 3: Cross multiply
    13,892.36x = 19,165.28 × 8,853.88
  4. Step 4: Simplify right side
    13,892.36x = 169,687,089.29
  5. Step 5: Solve for x
    x = 169,687,089.29/13,892.36
  6. Step 6: Final answer
    x = 12,214.42

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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.