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Finding the Fourth Proportional to 31,793.56, 47,693.10 and 12,072.16

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Solution

The fourth proportional to 31,793.56, 47,693.10 and 12,072.16 is: 18,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,793.56 : 47,693.10 = 12,072.16 : x
  2. Step 2: Convert to fraction form
    31,793.56/47,693.10 = 12,072.16/x
  3. Step 3: Cross multiply
    31,793.56x = 47,693.10 × 12,072.16
  4. Step 4: Simplify right side
    31,793.56x = 575,758,734.10
  5. Step 5: Solve for x
    x = 575,758,734.10/31,793.56
  6. Step 6: Final answer
    x = 18,109.29

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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.