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Finding the Fourth Proportional to 1,960.19, 2,940.72 and 661.63

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Solution

The fourth proportional to 1,960.19, 2,940.72 and 661.63 is: 992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.19 : 2,940.72 = 661.63 : x
  2. Step 2: Convert to fraction form
    1,960.19/2,940.72 = 661.63/x
  3. Step 3: Cross multiply
    1,960.19x = 2,940.72 × 661.63
  4. Step 4: Simplify right side
    1,960.19x = 1,945,668.57
  5. Step 5: Solve for x
    x = 1,945,668.57/1,960.19
  6. Step 6: Final answer
    x = 992.59

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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.