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Finding the Fourth Proportional to 8,102.48, 12,158.04 and 2,912

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Solution

The fourth proportional to 8,102.48, 12,158.04 and 2,912 is: 4,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.48 : 12,158.04 = 2,912 : x
  2. Step 2: Convert to fraction form
    8,102.48/12,158.04 = 2,912/x
  3. Step 3: Cross multiply
    8,102.48x = 12,158.04 × 2,912
  4. Step 4: Simplify right side
    8,102.48x = 35,404,212.48
  5. Step 5: Solve for x
    x = 35,404,212.48/8,102.48
  6. Step 6: Final answer
    x = 4,369.55

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Why These Related Problems?

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