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Finding the Fourth Proportional to 2,643, 3,647.45 and 1,464.07

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Solution

The fourth proportional to 2,643, 3,647.45 and 1,464.07 is: 2,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643 : 3,647.45 = 1,464.07 : x
  2. Step 2: Convert to fraction form
    2,643/3,647.45 = 1,464.07/x
  3. Step 3: Cross multiply
    2,643x = 3,647.45 × 1,464.07
  4. Step 4: Simplify right side
    2,643x = 5,340,122.12
  5. Step 5: Solve for x
    x = 5,340,122.12/2,643
  6. Step 6: Final answer
    x = 2,020.48

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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.