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Finding the Fourth Proportional to 12,102.04, 18,155.49 and 5,526.46

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Solution

The fourth proportional to 12,102.04, 18,155.49 and 5,526.46 is: 8,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.04 : 18,155.49 = 5,526.46 : x
  2. Step 2: Convert to fraction form
    12,102.04/18,155.49 = 5,526.46/x
  3. Step 3: Cross multiply
    12,102.04x = 18,155.49 × 5,526.46
  4. Step 4: Simplify right side
    12,102.04x = 100,335,589.27
  5. Step 5: Solve for x
    x = 100,335,589.27/12,102.04
  6. Step 6: Final answer
    x = 8,290.80

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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.