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Finding the Fourth Proportional to 23,607, 35,412.12 and 7,812

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Solution

The fourth proportional to 23,607, 35,412.12 and 7,812 is: 11,718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,607 : 35,412.12 = 7,812 : x
  2. Step 2: Convert to fraction form
    23,607/35,412.12 = 7,812/x
  3. Step 3: Cross multiply
    23,607x = 35,412.12 × 7,812
  4. Step 4: Simplify right side
    23,607x = 276,639,481.44
  5. Step 5: Solve for x
    x = 276,639,481.44/23,607
  6. Step 6: Final answer
    x = 11,718.54

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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.