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Finding the Fourth Proportional to 23,828.80, 32,884.32 and 13,218.88

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Solution

The fourth proportional to 23,828.80, 32,884.32 and 13,218.88 is: 18,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.80 : 32,884.32 = 13,218.88 : x
  2. Step 2: Convert to fraction form
    23,828.80/32,884.32 = 13,218.88/x
  3. Step 3: Cross multiply
    23,828.80x = 32,884.32 × 13,218.88
  4. Step 4: Simplify right side
    23,828.80x = 434,693,879.96
  5. Step 5: Solve for x
    x = 434,693,879.96/23,828.80
  6. Step 6: Final answer
    x = 18,242.37

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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.