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Finding the Fourth Proportional to 2,107.03, 3,161.01 and 646.30

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Solution

The fourth proportional to 2,107.03, 3,161.01 and 646.30 is: 969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.03 : 3,161.01 = 646.30 : x
  2. Step 2: Convert to fraction form
    2,107.03/3,161.01 = 646.30/x
  3. Step 3: Cross multiply
    2,107.03x = 3,161.01 × 646.30
  4. Step 4: Simplify right side
    2,107.03x = 2,042,960.76
  5. Step 5: Solve for x
    x = 2,042,960.76/2,107.03
  6. Step 6: Final answer
    x = 969.59

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1.5x scale

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.