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Finding the Fourth Proportional to 1,965.64, 2,712.62 and 1,219.22

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Solution

The fourth proportional to 1,965.64, 2,712.62 and 1,219.22 is: 1,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.64 : 2,712.62 = 1,219.22 : x
  2. Step 2: Convert to fraction form
    1,965.64/2,712.62 = 1,219.22/x
  3. Step 3: Cross multiply
    1,965.64x = 2,712.62 × 1,219.22
  4. Step 4: Simplify right side
    1,965.64x = 3,307,280.56
  5. Step 5: Solve for x
    x = 3,307,280.56/1,965.64
  6. Step 6: Final answer
    x = 1,682.55

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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.