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Finding the Fourth Proportional to 23,440.78, 35,160.36 and 7,858

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Solution

The fourth proportional to 23,440.78, 35,160.36 and 7,858 is: 11,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,440.78 : 35,160.36 = 7,858 : x
  2. Step 2: Convert to fraction form
    23,440.78/35,160.36 = 7,858/x
  3. Step 3: Cross multiply
    23,440.78x = 35,160.36 × 7,858
  4. Step 4: Simplify right side
    23,440.78x = 276,290,108.88
  5. Step 5: Solve for x
    x = 276,290,108.88/23,440.78
  6. Step 6: Final answer
    x = 11,786.73

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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.