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Finding the Fourth Proportional to 9,684.80, 13,357.44 and 8,196.80

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Solution

The fourth proportional to 9,684.80, 13,357.44 and 8,196.80 is: 11,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.80 : 13,357.44 = 8,196.80 : x
  2. Step 2: Convert to fraction form
    9,684.80/13,357.44 = 8,196.80/x
  3. Step 3: Cross multiply
    9,684.80x = 13,357.44 × 8,196.80
  4. Step 4: Simplify right side
    9,684.80x = 109,488,264.19
  5. Step 5: Solve for x
    x = 109,488,264.19/9,684.80
  6. Step 6: Final answer
    x = 11,305.17

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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.