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Finding the Fourth Proportional to 9,682.88, 13,363.18 and 5,491.94

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Solution

The fourth proportional to 9,682.88, 13,363.18 and 5,491.94 is: 7,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.88 : 13,363.18 = 5,491.94 : x
  2. Step 2: Convert to fraction form
    9,682.88/13,363.18 = 5,491.94/x
  3. Step 3: Cross multiply
    9,682.88x = 13,363.18 × 5,491.94
  4. Step 4: Simplify right side
    9,682.88x = 73,389,702.22
  5. Step 5: Solve for x
    x = 73,389,702.22/9,682.88
  6. Step 6: Final answer
    x = 7,579.33

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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.