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Finding the Fourth Proportional to 1,965.42, 2,709.90 and 1,179.18

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Solution

The fourth proportional to 1,965.42, 2,709.90 and 1,179.18 is: 1,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.42 : 2,709.90 = 1,179.18 : x
  2. Step 2: Convert to fraction form
    1,965.42/2,709.90 = 1,179.18/x
  3. Step 3: Cross multiply
    1,965.42x = 2,709.90 × 1,179.18
  4. Step 4: Simplify right side
    1,965.42x = 3,195,459.88
  5. Step 5: Solve for x
    x = 3,195,459.88/1,965.42
  6. Step 6: Final answer
    x = 1,625.84

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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.