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Finding the Fourth Proportional to 6,965.70, 9,612.98 and 3,980.75

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Solution

The fourth proportional to 6,965.70, 9,612.98 and 3,980.75 is: 5,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.70 : 9,612.98 = 3,980.75 : x
  2. Step 2: Convert to fraction form
    6,965.70/9,612.98 = 3,980.75/x
  3. Step 3: Cross multiply
    6,965.70x = 9,612.98 × 3,980.75
  4. Step 4: Simplify right side
    6,965.70x = 38,266,817.09
  5. Step 5: Solve for x
    x = 38,266,817.09/6,965.70
  6. Step 6: Final answer
    x = 5,493.61

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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.