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Finding the Fourth Proportional to 14,834.95, 20,471.73 and 8,120.44

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Solution

The fourth proportional to 14,834.95, 20,471.73 and 8,120.44 is: 11,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.95 : 20,471.73 = 8,120.44 : x
  2. Step 2: Convert to fraction form
    14,834.95/20,471.73 = 8,120.44/x
  3. Step 3: Cross multiply
    14,834.95x = 20,471.73 × 8,120.44
  4. Step 4: Simplify right side
    14,834.95x = 166,239,455.16
  5. Step 5: Solve for x
    x = 166,239,455.16/14,834.95
  6. Step 6: Final answer
    x = 11,205.93

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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.