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Finding the Fourth Proportional to 1,959.64, 2,704.31 and 1,173.69

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Solution

The fourth proportional to 1,959.64, 2,704.31 and 1,173.69 is: 1,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.64 : 2,704.31 = 1,173.69 : x
  2. Step 2: Convert to fraction form
    1,959.64/2,704.31 = 1,173.69/x
  3. Step 3: Cross multiply
    1,959.64x = 2,704.31 × 1,173.69
  4. Step 4: Simplify right side
    1,959.64x = 3,174,021.60
  5. Step 5: Solve for x
    x = 3,174,021.60/1,959.64
  6. Step 6: Final answer
    x = 1,619.70

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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.