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Finding the Fourth Proportional to 37,305.12, 51,481.08 and 20,538

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Solution

The fourth proportional to 37,305.12, 51,481.08 and 20,538 is: 28,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,305.12 : 51,481.08 = 20,538 : x
  2. Step 2: Convert to fraction form
    37,305.12/51,481.08 = 20,538/x
  3. Step 3: Cross multiply
    37,305.12x = 51,481.08 × 20,538
  4. Step 4: Simplify right side
    37,305.12x = 1,057,318,421.04
  5. Step 5: Solve for x
    x = 1,057,318,421.04/37,305.12
  6. Step 6: Final answer
    x = 28,342.45

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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.