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Finding the Fourth Proportional to 8,196.30, 11,310.93 and 4,659.30

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Solution

The fourth proportional to 8,196.30, 11,310.93 and 4,659.30 is: 6,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.30 : 11,310.93 = 4,659.30 : x
  2. Step 2: Convert to fraction form
    8,196.30/11,310.93 = 4,659.30/x
  3. Step 3: Cross multiply
    8,196.30x = 11,310.93 × 4,659.30
  4. Step 4: Simplify right side
    8,196.30x = 52,701,016.15
  5. Step 5: Solve for x
    x = 52,701,016.15/8,196.30
  6. Step 6: Final answer
    x = 6,429.85

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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.