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Finding the Fourth Proportional to 6,980.63, 9,633.26 and 3,836.81

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Solution

The fourth proportional to 6,980.63, 9,633.26 and 3,836.81 is: 5,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.63 : 9,633.26 = 3,836.81 : x
  2. Step 2: Convert to fraction form
    6,980.63/9,633.26 = 3,836.81/x
  3. Step 3: Cross multiply
    6,980.63x = 9,633.26 × 3,836.81
  4. Step 4: Simplify right side
    6,980.63x = 36,961,021.98
  5. Step 5: Solve for x
    x = 36,961,021.98/6,980.63
  6. Step 6: Final answer
    x = 5,294.80

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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.