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Finding the Fourth Proportional to 6,956, 10,434.08 and 1,761.88

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Solution

The fourth proportional to 6,956, 10,434.08 and 1,761.88 is: 2,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956 : 10,434.08 = 1,761.88 : x
  2. Step 2: Convert to fraction form
    6,956/10,434.08 = 1,761.88/x
  3. Step 3: Cross multiply
    6,956x = 10,434.08 × 1,761.88
  4. Step 4: Simplify right side
    6,956x = 18,383,596.87
  5. Step 5: Solve for x
    x = 18,383,596.87/6,956
  6. Step 6: Final answer
    x = 2,642.84

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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.