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Finding the Fourth Proportional to 7,234.41, 9,985.37 and 4,091.61

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Solution

The fourth proportional to 7,234.41, 9,985.37 and 4,091.61 is: 5,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.41 : 9,985.37 = 4,091.61 : x
  2. Step 2: Convert to fraction form
    7,234.41/9,985.37 = 4,091.61/x
  3. Step 3: Cross multiply
    7,234.41x = 9,985.37 × 4,091.61
  4. Step 4: Simplify right side
    7,234.41x = 40,856,219.29
  5. Step 5: Solve for x
    x = 40,856,219.29/7,234.41
  6. Step 6: Final answer
    x = 5,647.48

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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.