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Finding the Fourth Proportional to 6,434.50, 8,879.85 and 3,639.94

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Solution

The fourth proportional to 6,434.50, 8,879.85 and 3,639.94 is: 5,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.50 : 8,879.85 = 3,639.94 : x
  2. Step 2: Convert to fraction form
    6,434.50/8,879.85 = 3,639.94/x
  3. Step 3: Cross multiply
    6,434.50x = 8,879.85 × 3,639.94
  4. Step 4: Simplify right side
    6,434.50x = 32,322,121.21
  5. Step 5: Solve for x
    x = 32,322,121.21/6,434.50
  6. Step 6: Final answer
    x = 5,023.25

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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.