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Finding the Fourth Proportional to 8,111.08, 12,109.01 and 7,823.08

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Solution

The fourth proportional to 8,111.08, 12,109.01 and 7,823.08 is: 11,679.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.08 : 12,109.01 = 7,823.08 : x
  2. Step 2: Convert to fraction form
    8,111.08/12,109.01 = 7,823.08/x
  3. Step 3: Cross multiply
    8,111.08x = 12,109.01 × 7,823.08
  4. Step 4: Simplify right side
    8,111.08x = 94,729,753.95
  5. Step 5: Solve for x
    x = 94,729,753.95/8,111.08
  6. Step 6: Final answer
    x = 11,679.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.