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Finding the Fourth Proportional to 38,421.75, 53,023.64 and 21,654.75

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Solution

The fourth proportional to 38,421.75, 53,023.64 and 21,654.75 is: 29,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421.75 : 53,023.64 = 21,654.75 : x
  2. Step 2: Convert to fraction form
    38,421.75/53,023.64 = 21,654.75/x
  3. Step 3: Cross multiply
    38,421.75x = 53,023.64 × 21,654.75
  4. Step 4: Simplify right side
    38,421.75x = 1,148,213,560.02
  5. Step 5: Solve for x
    x = 1,148,213,560.02/38,421.75
  6. Step 6: Final answer
    x = 29,884.47

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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.