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Finding the Fourth Proportional to 2,642.67, 3,647.12 and 1,463.96

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Solution

The fourth proportional to 2,642.67, 3,647.12 and 1,463.96 is: 2,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.67 : 3,647.12 = 1,463.96 : x
  2. Step 2: Convert to fraction form
    2,642.67/3,647.12 = 1,463.96/x
  3. Step 3: Cross multiply
    2,642.67x = 3,647.12 × 1,463.96
  4. Step 4: Simplify right side
    2,642.67x = 5,339,212.24
  5. Step 5: Solve for x
    x = 5,339,212.24/2,642.67
  6. Step 6: Final answer
    x = 2,020.39

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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.