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Finding the Fourth Proportional to 6,961, 9,608.34 and 4,477

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Solution

The fourth proportional to 6,961, 9,608.34 and 4,477 is: 6,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961 : 9,608.34 = 4,477 : x
  2. Step 2: Convert to fraction form
    6,961/9,608.34 = 4,477/x
  3. Step 3: Cross multiply
    6,961x = 9,608.34 × 4,477
  4. Step 4: Simplify right side
    6,961x = 43,016,538.18
  5. Step 5: Solve for x
    x = 43,016,538.18/6,961
  6. Step 6: Final answer
    x = 6,179.65

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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.