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Finding the Fourth Proportional to 13,478.75, 20,182.73 and 10,832.18

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Solution

The fourth proportional to 13,478.75, 20,182.73 and 10,832.18 is: 16,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.75 : 20,182.73 = 10,832.18 : x
  2. Step 2: Convert to fraction form
    13,478.75/20,182.73 = 10,832.18/x
  3. Step 3: Cross multiply
    13,478.75x = 20,182.73 × 10,832.18
  4. Step 4: Simplify right side
    13,478.75x = 218,622,809.18
  5. Step 5: Solve for x
    x = 218,622,809.18/13,478.75
  6. Step 6: Final answer
    x = 16,219.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.