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Finding the Fourth Proportional to 12,640.87, 18,935.92 and 6,296.64

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Solution

The fourth proportional to 12,640.87, 18,935.92 and 6,296.64 is: 9,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.87 : 18,935.92 = 6,296.64 : x
  2. Step 2: Convert to fraction form
    12,640.87/18,935.92 = 6,296.64/x
  3. Step 3: Cross multiply
    12,640.87x = 18,935.92 × 6,296.64
  4. Step 4: Simplify right side
    12,640.87x = 119,232,671.31
  5. Step 5: Solve for x
    x = 119,232,671.31/12,640.87
  6. Step 6: Final answer
    x = 9,432.32

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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.