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Finding the Fourth Proportional to 9,048.22, 13,633.97 and 7,440.78

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Solution

The fourth proportional to 9,048.22, 13,633.97 and 7,440.78 is: 11,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.22 : 13,633.97 = 7,440.78 : x
  2. Step 2: Convert to fraction form
    9,048.22/13,633.97 = 7,440.78/x
  3. Step 3: Cross multiply
    9,048.22x = 13,633.97 × 7,440.78
  4. Step 4: Simplify right side
    9,048.22x = 101,447,371.30
  5. Step 5: Solve for x
    x = 101,447,371.30/9,048.22
  6. Step 6: Final answer
    x = 11,211.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.