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Finding the Fourth Proportional to 6,340.40, 8,739.26 and 4,765.76

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Solution

The fourth proportional to 6,340.40, 8,739.26 and 4,765.76 is: 6,568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.40 : 8,739.26 = 4,765.76 : x
  2. Step 2: Convert to fraction form
    6,340.40/8,739.26 = 4,765.76/x
  3. Step 3: Cross multiply
    6,340.40x = 8,739.26 × 4,765.76
  4. Step 4: Simplify right side
    6,340.40x = 41,649,148.21
  5. Step 5: Solve for x
    x = 41,649,148.21/6,340.40
  6. Step 6: Final answer
    x = 6,568.86

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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.