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Finding the Fourth Proportional to 1,312.82, 1,965.45 and 1,181.60

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Solution

The fourth proportional to 1,312.82, 1,965.45 and 1,181.60 is: 1,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.82 : 1,965.45 = 1,181.60 : x
  2. Step 2: Convert to fraction form
    1,312.82/1,965.45 = 1,181.60/x
  3. Step 3: Cross multiply
    1,312.82x = 1,965.45 × 1,181.60
  4. Step 4: Simplify right side
    1,312.82x = 2,322,375.72
  5. Step 5: Solve for x
    x = 2,322,375.72/1,312.82
  6. Step 6: Final answer
    x = 1,769.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.