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Finding the Fourth Proportional to 8,577, 11,836.62 and 4,851

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Solution

The fourth proportional to 8,577, 11,836.62 and 4,851 is: 6,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577 : 11,836.62 = 4,851 : x
  2. Step 2: Convert to fraction form
    8,577/11,836.62 = 4,851/x
  3. Step 3: Cross multiply
    8,577x = 11,836.62 × 4,851
  4. Step 4: Simplify right side
    8,577x = 57,419,443.62
  5. Step 5: Solve for x
    x = 57,419,443.62/8,577
  6. Step 6: Final answer
    x = 6,694.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.