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Finding the Fourth Proportional to 7,647.63, 11,460.76 and 3,942.08

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Solution

The fourth proportional to 7,647.63, 11,460.76 and 3,942.08 is: 5,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.63 : 11,460.76 = 3,942.08 : x
  2. Step 2: Convert to fraction form
    7,647.63/11,460.76 = 3,942.08/x
  3. Step 3: Cross multiply
    7,647.63x = 11,460.76 × 3,942.08
  4. Step 4: Simplify right side
    7,647.63x = 45,179,208.60
  5. Step 5: Solve for x
    x = 45,179,208.60/7,647.63
  6. Step 6: Final answer
    x = 5,907.61

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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.