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Finding the Fourth Proportional to 6,908.57, 10,359.81 and 1,977.09

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Solution

The fourth proportional to 6,908.57, 10,359.81 and 1,977.09 is: 2,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.57 : 10,359.81 = 1,977.09 : x
  2. Step 2: Convert to fraction form
    6,908.57/10,359.81 = 1,977.09/x
  3. Step 3: Cross multiply
    6,908.57x = 10,359.81 × 1,977.09
  4. Step 4: Simplify right side
    6,908.57x = 20,482,250.85
  5. Step 5: Solve for x
    x = 20,482,250.85/6,908.57
  6. Step 6: Final answer
    x = 2,964.76

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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.