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Finding the Fourth Proportional to 9,682.74, 13,362.84 and 5,491.26

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Solution

The fourth proportional to 9,682.74, 13,362.84 and 5,491.26 is: 7,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.74 : 13,362.84 = 5,491.26 : x
  2. Step 2: Convert to fraction form
    9,682.74/13,362.84 = 5,491.26/x
  3. Step 3: Cross multiply
    9,682.74x = 13,362.84 × 5,491.26
  4. Step 4: Simplify right side
    9,682.74x = 73,378,828.78
  5. Step 5: Solve for x
    x = 73,378,828.78/9,682.74
  6. Step 6: Final answer
    x = 7,578.31

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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.