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Finding the Fourth Proportional to 38,418.63, 57,654 and 13,458.89

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Solution

The fourth proportional to 38,418.63, 57,654 and 13,458.89 is: 20,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,418.63 : 57,654 = 13,458.89 : x
  2. Step 2: Convert to fraction form
    38,418.63/57,654 = 13,458.89/x
  3. Step 3: Cross multiply
    38,418.63x = 57,654 × 13,458.89
  4. Step 4: Simplify right side
    38,418.63x = 775,958,555.79
  5. Step 5: Solve for x
    x = 775,958,555.79/38,418.63
  6. Step 6: Final answer
    x = 20,197.46

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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.