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Finding the Fourth Proportional to 2,106.96, 3,161 and 646.16

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Solution

The fourth proportional to 2,106.96, 3,161 and 646.16 is: 969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.96 : 3,161 = 646.16 : x
  2. Step 2: Convert to fraction form
    2,106.96/3,161 = 646.16/x
  3. Step 3: Cross multiply
    2,106.96x = 3,161 × 646.16
  4. Step 4: Simplify right side
    2,106.96x = 2,042,511.76
  5. Step 5: Solve for x
    x = 2,042,511.76/2,106.96
  6. Step 6: Final answer
    x = 969.41

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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.