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Finding the Fourth Proportional to 10,801.89, 14,892.19 and 8,101.63

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Solution

The fourth proportional to 10,801.89, 14,892.19 and 8,101.63 is: 11,169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.89 : 14,892.19 = 8,101.63 : x
  2. Step 2: Convert to fraction form
    10,801.89/14,892.19 = 8,101.63/x
  3. Step 3: Cross multiply
    10,801.89x = 14,892.19 × 8,101.63
  4. Step 4: Simplify right side
    10,801.89x = 120,651,013.27
  5. Step 5: Solve for x
    x = 120,651,013.27/10,801.89
  6. Step 6: Final answer
    x = 11,169.44

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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.