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Finding the Fourth Proportional to 8,111.84, 11,196.18 and 6,783.24

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Solution

The fourth proportional to 8,111.84, 11,196.18 and 6,783.24 is: 9,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.84 : 11,196.18 = 6,783.24 : x
  2. Step 2: Convert to fraction form
    8,111.84/11,196.18 = 6,783.24/x
  3. Step 3: Cross multiply
    8,111.84x = 11,196.18 × 6,783.24
  4. Step 4: Simplify right side
    8,111.84x = 75,946,376.02
  5. Step 5: Solve for x
    x = 75,946,376.02/8,111.84
  6. Step 6: Final answer
    x = 9,362.41

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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.