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Finding the Fourth Proportional to 6,930.31, 9,563.86 and 3,786.57

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Solution

The fourth proportional to 6,930.31, 9,563.86 and 3,786.57 is: 5,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.31 : 9,563.86 = 3,786.57 : x
  2. Step 2: Convert to fraction form
    6,930.31/9,563.86 = 3,786.57/x
  3. Step 3: Cross multiply
    6,930.31x = 9,563.86 × 3,786.57
  4. Step 4: Simplify right side
    6,930.31x = 36,214,225.36
  5. Step 5: Solve for x
    x = 36,214,225.36/6,930.31
  6. Step 6: Final answer
    x = 5,225.48

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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.