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Finding the Fourth Proportional to 18,102.74, 27,156.72 and 6,862.22

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Solution

The fourth proportional to 18,102.74, 27,156.72 and 6,862.22 is: 10,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.74 : 27,156.72 = 6,862.22 : x
  2. Step 2: Convert to fraction form
    18,102.74/27,156.72 = 6,862.22/x
  3. Step 3: Cross multiply
    18,102.74x = 27,156.72 × 6,862.22
  4. Step 4: Simplify right side
    18,102.74x = 186,355,340.31
  5. Step 5: Solve for x
    x = 186,355,340.31/18,102.74
  6. Step 6: Final answer
    x = 10,294.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.