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Finding the Fourth Proportional to 1,782.73, 2,670.22 and 1,628.02

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Solution

The fourth proportional to 1,782.73, 2,670.22 and 1,628.02 is: 2,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.73 : 2,670.22 = 1,628.02 : x
  2. Step 2: Convert to fraction form
    1,782.73/2,670.22 = 1,628.02/x
  3. Step 3: Cross multiply
    1,782.73x = 2,670.22 × 1,628.02
  4. Step 4: Simplify right side
    1,782.73x = 4,347,171.56
  5. Step 5: Solve for x
    x = 4,347,171.56/1,782.73
  6. Step 6: Final answer
    x = 2,438.49

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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.