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Finding the Fourth Proportional to 2,628.97, 3,628.26 and 1,964.68

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Solution

The fourth proportional to 2,628.97, 3,628.26 and 1,964.68 is: 2,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.97 : 3,628.26 = 1,964.68 : x
  2. Step 2: Convert to fraction form
    2,628.97/3,628.26 = 1,964.68/x
  3. Step 3: Cross multiply
    2,628.97x = 3,628.26 × 1,964.68
  4. Step 4: Simplify right side
    2,628.97x = 7,128,369.86
  5. Step 5: Solve for x
    x = 7,128,369.86/2,628.97
  6. Step 6: Final answer
    x = 2,711.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.