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Finding the Fourth Proportional to 2,106.97, 3,160.46 and 646.12

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Solution

The fourth proportional to 2,106.97, 3,160.46 and 646.12 is: 969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.97 : 3,160.46 = 646.12 : x
  2. Step 2: Convert to fraction form
    2,106.97/3,160.46 = 646.12/x
  3. Step 3: Cross multiply
    2,106.97x = 3,160.46 × 646.12
  4. Step 4: Simplify right side
    2,106.97x = 2,042,033.18
  5. Step 5: Solve for x
    x = 2,042,033.18/2,106.97
  6. Step 6: Final answer
    x = 969.18

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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.