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Finding the Fourth Proportional to 8,460.35, 11,664.09 and 6,942.35

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Solution

The fourth proportional to 8,460.35, 11,664.09 and 6,942.35 is: 9,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.35 : 11,664.09 = 6,942.35 : x
  2. Step 2: Convert to fraction form
    8,460.35/11,664.09 = 6,942.35/x
  3. Step 3: Cross multiply
    8,460.35x = 11,664.09 × 6,942.35
  4. Step 4: Simplify right side
    8,460.35x = 80,976,195.21
  5. Step 5: Solve for x
    x = 80,976,195.21/8,460.35
  6. Step 6: Final answer
    x = 9,571.26

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1.5x scale

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.