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Finding the Fourth Proportional to 6,340.54, 8,751.76 and 3,689

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Solution

The fourth proportional to 6,340.54, 8,751.76 and 3,689 is: 5,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.54 : 8,751.76 = 3,689 : x
  2. Step 2: Convert to fraction form
    6,340.54/8,751.76 = 3,689/x
  3. Step 3: Cross multiply
    6,340.54x = 8,751.76 × 3,689
  4. Step 4: Simplify right side
    6,340.54x = 32,285,242.64
  5. Step 5: Solve for x
    x = 32,285,242.64/6,340.54
  6. Step 6: Final answer
    x = 5,091.88

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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.