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Finding the Fourth Proportional to 2,172.97, 2,997.10 and 1,426.65

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Solution

The fourth proportional to 2,172.97, 2,997.10 and 1,426.65 is: 1,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.97 : 2,997.10 = 1,426.65 : x
  2. Step 2: Convert to fraction form
    2,172.97/2,997.10 = 1,426.65/x
  3. Step 3: Cross multiply
    2,172.97x = 2,997.10 × 1,426.65
  4. Step 4: Simplify right side
    2,172.97x = 4,275,820.21
  5. Step 5: Solve for x
    x = 4,275,820.21/2,172.97
  6. Step 6: Final answer
    x = 1,967.73

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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.