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Finding the Fourth Proportional to 9,314.45, 13,941.13 and 5,091.23

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Solution

The fourth proportional to 9,314.45, 13,941.13 and 5,091.23 is: 7,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.45 : 13,941.13 = 5,091.23 : x
  2. Step 2: Convert to fraction form
    9,314.45/13,941.13 = 5,091.23/x
  3. Step 3: Cross multiply
    9,314.45x = 13,941.13 × 5,091.23
  4. Step 4: Simplify right side
    9,314.45x = 70,977,481.79
  5. Step 5: Solve for x
    x = 70,977,481.79/9,314.45
  6. Step 6: Final answer
    x = 7,620.15

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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.