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Finding the Fourth Proportional to 12,102.54, 18,156.24 and 5,526.96

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Solution

The fourth proportional to 12,102.54, 18,156.24 and 5,526.96 is: 8,291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.54 : 18,156.24 = 5,526.96 : x
  2. Step 2: Convert to fraction form
    12,102.54/18,156.24 = 5,526.96/x
  3. Step 3: Cross multiply
    12,102.54x = 18,156.24 × 5,526.96
  4. Step 4: Simplify right side
    12,102.54x = 100,348,812.23
  5. Step 5: Solve for x
    x = 100,348,812.23/12,102.54
  6. Step 6: Final answer
    x = 8,291.55

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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.