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Finding the Fourth Proportional to 2,081.31, 3,122.63 and 782.88

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Solution

The fourth proportional to 2,081.31, 3,122.63 and 782.88 is: 1,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.31 : 3,122.63 = 782.88 : x
  2. Step 2: Convert to fraction form
    2,081.31/3,122.63 = 782.88/x
  3. Step 3: Cross multiply
    2,081.31x = 3,122.63 × 782.88
  4. Step 4: Simplify right side
    2,081.31x = 2,444,644.57
  5. Step 5: Solve for x
    x = 2,444,644.57/2,081.31
  6. Step 6: Final answer
    x = 1,174.57

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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.