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Finding the Fourth Proportional to 13,866.43, 19,132.66 and 8,201.50

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Solution

The fourth proportional to 13,866.43, 19,132.66 and 8,201.50 is: 11,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.43 : 19,132.66 = 8,201.50 : x
  2. Step 2: Convert to fraction form
    13,866.43/19,132.66 = 8,201.50/x
  3. Step 3: Cross multiply
    13,866.43x = 19,132.66 × 8,201.50
  4. Step 4: Simplify right side
    13,866.43x = 156,916,510.99
  5. Step 5: Solve for x
    x = 156,916,510.99/13,866.43
  6. Step 6: Final answer
    x = 11,316.29

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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.