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Finding the Fourth Proportional to 6,996.66, 9,662.54 and 6,396.86

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Solution

The fourth proportional to 6,996.66, 9,662.54 and 6,396.86 is: 8,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.66 : 9,662.54 = 6,396.86 : x
  2. Step 2: Convert to fraction form
    6,996.66/9,662.54 = 6,396.86/x
  3. Step 3: Cross multiply
    6,996.66x = 9,662.54 × 6,396.86
  4. Step 4: Simplify right side
    6,996.66x = 61,809,835.33
  5. Step 5: Solve for x
    x = 61,809,835.33/6,996.66
  6. Step 6: Final answer
    x = 8,834.19

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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.