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Finding the Fourth Proportional to 2,146.68, 2,962.12 and 1,262.96

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Solution

The fourth proportional to 2,146.68, 2,962.12 and 1,262.96 is: 1,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.68 : 2,962.12 = 1,262.96 : x
  2. Step 2: Convert to fraction form
    2,146.68/2,962.12 = 1,262.96/x
  3. Step 3: Cross multiply
    2,146.68x = 2,962.12 × 1,262.96
  4. Step 4: Simplify right side
    2,146.68x = 3,741,039.08
  5. Step 5: Solve for x
    x = 3,741,039.08/2,146.68
  6. Step 6: Final answer
    x = 1,742.71

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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.