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Finding the Fourth Proportional to 2,643.07, 3,647.28 and 1,464.07

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Solution

The fourth proportional to 2,643.07, 3,647.28 and 1,464.07 is: 2,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.07 : 3,647.28 = 1,464.07 : x
  2. Step 2: Convert to fraction form
    2,643.07/3,647.28 = 1,464.07/x
  3. Step 3: Cross multiply
    2,643.07x = 3,647.28 × 1,464.07
  4. Step 4: Simplify right side
    2,643.07x = 5,339,873.23
  5. Step 5: Solve for x
    x = 5,339,873.23/2,643.07
  6. Step 6: Final answer
    x = 2,020.33

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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.