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Finding the Fourth Proportional to 4,657.42, 6,978.84 and 3,961.23

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Solution

The fourth proportional to 4,657.42, 6,978.84 and 3,961.23 is: 5,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.42 : 6,978.84 = 3,961.23 : x
  2. Step 2: Convert to fraction form
    4,657.42/6,978.84 = 3,961.23/x
  3. Step 3: Cross multiply
    4,657.42x = 6,978.84 × 3,961.23
  4. Step 4: Simplify right side
    4,657.42x = 27,644,790.37
  5. Step 5: Solve for x
    x = 27,644,790.37/4,657.42
  6. Step 6: Final answer
    x = 5,935.64

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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.