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Finding the Fourth Proportional to 2,643.08, 3,964.82 and 695.25

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Solution

The fourth proportional to 2,643.08, 3,964.82 and 695.25 is: 1,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.08 : 3,964.82 = 695.25 : x
  2. Step 2: Convert to fraction form
    2,643.08/3,964.82 = 695.25/x
  3. Step 3: Cross multiply
    2,643.08x = 3,964.82 × 695.25
  4. Step 4: Simplify right side
    2,643.08x = 2,756,537.63
  5. Step 5: Solve for x
    x = 2,756,537.63/2,643.08
  6. Step 6: Final answer
    x = 1,042.93

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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.