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Finding the Fourth Proportional to 2,840, 4,261.68 and 1,196.44

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Solution

The fourth proportional to 2,840, 4,261.68 and 1,196.44 is: 1,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840 : 4,261.68 = 1,196.44 : x
  2. Step 2: Convert to fraction form
    2,840/4,261.68 = 1,196.44/x
  3. Step 3: Cross multiply
    2,840x = 4,261.68 × 1,196.44
  4. Step 4: Simplify right side
    2,840x = 5,098,844.42
  5. Step 5: Solve for x
    x = 5,098,844.42/2,840
  6. Step 6: Final answer
    x = 1,795.37

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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.