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Finding the Fourth Proportional to 6,958.80, 10,437.84 and 1,764.72

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Solution

The fourth proportional to 6,958.80, 10,437.84 and 1,764.72 is: 2,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.80 : 10,437.84 = 1,764.72 : x
  2. Step 2: Convert to fraction form
    6,958.80/10,437.84 = 1,764.72/x
  3. Step 3: Cross multiply
    6,958.80x = 10,437.84 × 1,764.72
  4. Step 4: Simplify right side
    6,958.80x = 18,419,865.00
  5. Step 5: Solve for x
    x = 18,419,865.00/6,958.80
  6. Step 6: Final answer
    x = 2,646.99

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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.