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Finding the Fourth Proportional to 2,192, 3,271.18 and 1,958.46

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Solution

The fourth proportional to 2,192, 3,271.18 and 1,958.46 is: 2,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192 : 3,271.18 = 1,958.46 : x
  2. Step 2: Convert to fraction form
    2,192/3,271.18 = 1,958.46/x
  3. Step 3: Cross multiply
    2,192x = 3,271.18 × 1,958.46
  4. Step 4: Simplify right side
    2,192x = 6,406,475.18
  5. Step 5: Solve for x
    x = 6,406,475.18/2,192
  6. Step 6: Final answer
    x = 2,922.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.