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Finding the Fourth Proportional to 8,619, 12,927.69 and 3,072.12

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Solution

The fourth proportional to 8,619, 12,927.69 and 3,072.12 is: 4,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,619 : 12,927.69 = 3,072.12 : x
  2. Step 2: Convert to fraction form
    8,619/12,927.69 = 3,072.12/x
  3. Step 3: Cross multiply
    8,619x = 12,927.69 × 3,072.12
  4. Step 4: Simplify right side
    8,619x = 39,715,415.00
  5. Step 5: Solve for x
    x = 39,715,415.00/8,619
  6. Step 6: Final answer
    x = 4,607.89

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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.