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Finding the Fourth Proportional to 6,866.85, 10,299.34 and 1,936.88

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Solution

The fourth proportional to 6,866.85, 10,299.34 and 1,936.88 is: 2,905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.85 : 10,299.34 = 1,936.88 : x
  2. Step 2: Convert to fraction form
    6,866.85/10,299.34 = 1,936.88/x
  3. Step 3: Cross multiply
    6,866.85x = 10,299.34 × 1,936.88
  4. Step 4: Simplify right side
    6,866.85x = 19,948,585.66
  5. Step 5: Solve for x
    x = 19,948,585.66/6,866.85
  6. Step 6: Final answer
    x = 2,905.06

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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.