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Finding the Fourth Proportional to 2,150.97, 2,968.29 and 1,206.91

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Solution

The fourth proportional to 2,150.97, 2,968.29 and 1,206.91 is: 1,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.97 : 2,968.29 = 1,206.91 : x
  2. Step 2: Convert to fraction form
    2,150.97/2,968.29 = 1,206.91/x
  3. Step 3: Cross multiply
    2,150.97x = 2,968.29 × 1,206.91
  4. Step 4: Simplify right side
    2,150.97x = 3,582,458.88
  5. Step 5: Solve for x
    x = 3,582,458.88/2,150.97
  6. Step 6: Final answer
    x = 1,665.51

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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.