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Finding the Fourth Proportional to 6,961, 9,606.58 and 3,977.78

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Solution

The fourth proportional to 6,961, 9,606.58 and 3,977.78 is: 5,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961 : 9,606.58 = 3,977.78 : x
  2. Step 2: Convert to fraction form
    6,961/9,606.58 = 3,977.78/x
  3. Step 3: Cross multiply
    6,961x = 9,606.58 × 3,977.78
  4. Step 4: Simplify right side
    6,961x = 38,212,861.79
  5. Step 5: Solve for x
    x = 38,212,861.79/6,961
  6. Step 6: Final answer
    x = 5,489.56

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1.5x scale

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.