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Finding the Fourth Proportional to 3,457.44, 4,770.09 and 1,965.29

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Solution

The fourth proportional to 3,457.44, 4,770.09 and 1,965.29 is: 2,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.44 : 4,770.09 = 1,965.29 : x
  2. Step 2: Convert to fraction form
    3,457.44/4,770.09 = 1,965.29/x
  3. Step 3: Cross multiply
    3,457.44x = 4,770.09 × 1,965.29
  4. Step 4: Simplify right side
    3,457.44x = 9,374,586.33
  5. Step 5: Solve for x
    x = 9,374,586.33/3,457.44
  6. Step 6: Final answer
    x = 2,711.42

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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.