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Finding the Fourth Proportional to 2,107.44, 3,161.02 and 646.46

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Solution

The fourth proportional to 2,107.44, 3,161.02 and 646.46 is: 969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.44 : 3,161.02 = 646.46 : x
  2. Step 2: Convert to fraction form
    2,107.44/3,161.02 = 646.46/x
  3. Step 3: Cross multiply
    2,107.44x = 3,161.02 × 646.46
  4. Step 4: Simplify right side
    2,107.44x = 2,043,472.99
  5. Step 5: Solve for x
    x = 2,043,472.99/2,107.44
  6. Step 6: Final answer
    x = 969.65

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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.