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Finding the Fourth Proportional to 2,643.09, 3,964.63 and 695.13

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Solution

The fourth proportional to 2,643.09, 3,964.63 and 695.13 is: 1,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.09 : 3,964.63 = 695.13 : x
  2. Step 2: Convert to fraction form
    2,643.09/3,964.63 = 695.13/x
  3. Step 3: Cross multiply
    2,643.09x = 3,964.63 × 695.13
  4. Step 4: Simplify right side
    2,643.09x = 2,755,933.25
  5. Step 5: Solve for x
    x = 2,755,933.25/2,643.09
  6. Step 6: Final answer
    x = 1,042.69

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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.