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Finding the Fourth Proportional to 14,102.73, 19,461.96 and 7,729.22

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Solution

The fourth proportional to 14,102.73, 19,461.96 and 7,729.22 is: 10,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.73 : 19,461.96 = 7,729.22 : x
  2. Step 2: Convert to fraction form
    14,102.73/19,461.96 = 7,729.22/x
  3. Step 3: Cross multiply
    14,102.73x = 19,461.96 × 7,729.22
  4. Step 4: Simplify right side
    14,102.73x = 150,425,673.16
  5. Step 5: Solve for x
    x = 150,425,673.16/14,102.73
  6. Step 6: Final answer
    x = 10,666.42

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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.