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Finding the Fourth Proportional to 6,418.60, 9,628.60 and 2,669.96

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Solution

The fourth proportional to 6,418.60, 9,628.60 and 2,669.96 is: 4,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.60 : 9,628.60 = 2,669.96 : x
  2. Step 2: Convert to fraction form
    6,418.60/9,628.60 = 2,669.96/x
  3. Step 3: Cross multiply
    6,418.60x = 9,628.60 × 2,669.96
  4. Step 4: Simplify right side
    6,418.60x = 25,707,976.86
  5. Step 5: Solve for x
    x = 25,707,976.86/6,418.60
  6. Step 6: Final answer
    x = 4,005.23

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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.