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Finding the Fourth Proportional to 2,643.44, 3,965.20 and 695.57

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Solution

The fourth proportional to 2,643.44, 3,965.20 and 695.57 is: 1,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.44 : 3,965.20 = 695.57 : x
  2. Step 2: Convert to fraction form
    2,643.44/3,965.20 = 695.57/x
  3. Step 3: Cross multiply
    2,643.44x = 3,965.20 × 695.57
  4. Step 4: Simplify right side
    2,643.44x = 2,758,052.60
  5. Step 5: Solve for x
    x = 2,758,052.60/2,643.44
  6. Step 6: Final answer
    x = 1,043.36

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1.5x scale

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.