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Finding the Fourth Proportional to 9,471.85, 13,072.41 and 5,440.27

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Solution

The fourth proportional to 9,471.85, 13,072.41 and 5,440.27 is: 7,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.85 : 13,072.41 = 5,440.27 : x
  2. Step 2: Convert to fraction form
    9,471.85/13,072.41 = 5,440.27/x
  3. Step 3: Cross multiply
    9,471.85x = 13,072.41 × 5,440.27
  4. Step 4: Simplify right side
    9,471.85x = 71,117,439.95
  5. Step 5: Solve for x
    x = 71,117,439.95/9,471.85
  6. Step 6: Final answer
    x = 7,508.29

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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.