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Finding the Fourth Proportional to 23,621, 35,433.12 and 7,826

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Solution

The fourth proportional to 23,621, 35,433.12 and 7,826 is: 11,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,621 : 35,433.12 = 7,826 : x
  2. Step 2: Convert to fraction form
    23,621/35,433.12 = 7,826/x
  3. Step 3: Cross multiply
    23,621x = 35,433.12 × 7,826
  4. Step 4: Simplify right side
    23,621x = 277,299,597.12
  5. Step 5: Solve for x
    x = 277,299,597.12/23,621
  6. Step 6: Final answer
    x = 11,739.54

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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.