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Finding the Fourth Proportional to 14,428.26, 19,912.86 and 8,462.22

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Solution

The fourth proportional to 14,428.26, 19,912.86 and 8,462.22 is: 11,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.26 : 19,912.86 = 8,462.22 : x
  2. Step 2: Convert to fraction form
    14,428.26/19,912.86 = 8,462.22/x
  3. Step 3: Cross multiply
    14,428.26x = 19,912.86 × 8,462.22
  4. Step 4: Simplify right side
    14,428.26x = 168,507,002.15
  5. Step 5: Solve for x
    x = 168,507,002.15/14,428.26
  6. Step 6: Final answer
    x = 11,678.96

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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.