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Finding the Fourth Proportional to 3,122, 4,680.84 and 1,889.72

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Solution

The fourth proportional to 3,122, 4,680.84 and 1,889.72 is: 2,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122 : 4,680.84 = 1,889.72 : x
  2. Step 2: Convert to fraction form
    3,122/4,680.84 = 1,889.72/x
  3. Step 3: Cross multiply
    3,122x = 4,680.84 × 1,889.72
  4. Step 4: Simplify right side
    3,122x = 8,845,476.96
  5. Step 5: Solve for x
    x = 8,845,476.96/3,122
  6. Step 6: Final answer
    x = 2,833.27

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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.