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Finding the Fourth Proportional to 8,144, 12,213.40 and 2,596.05

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Solution

The fourth proportional to 8,144, 12,213.40 and 2,596.05 is: 3,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144 : 12,213.40 = 2,596.05 : x
  2. Step 2: Convert to fraction form
    8,144/12,213.40 = 2,596.05/x
  3. Step 3: Cross multiply
    8,144x = 12,213.40 × 2,596.05
  4. Step 4: Simplify right side
    8,144x = 31,706,597.07
  5. Step 5: Solve for x
    x = 31,706,597.07/8,144
  6. Step 6: Final answer
    x = 3,893.25

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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.