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Finding the Fourth Proportional to 3,457.56, 4,770.63 and 1,965.12

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Solution

The fourth proportional to 3,457.56, 4,770.63 and 1,965.12 is: 2,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.56 : 4,770.63 = 1,965.12 : x
  2. Step 2: Convert to fraction form
    3,457.56/4,770.63 = 1,965.12/x
  3. Step 3: Cross multiply
    3,457.56x = 4,770.63 × 1,965.12
  4. Step 4: Simplify right side
    3,457.56x = 9,374,860.43
  5. Step 5: Solve for x
    x = 9,374,860.43/3,457.56
  6. Step 6: Final answer
    x = 2,711.41

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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.