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Finding the Fourth Proportional to 2,643.52, 3,971.04 and 2,157.76

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Solution

The fourth proportional to 2,643.52, 3,971.04 and 2,157.76 is: 3,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.52 : 3,971.04 = 2,157.76 : x
  2. Step 2: Convert to fraction form
    2,643.52/3,971.04 = 2,157.76/x
  3. Step 3: Cross multiply
    2,643.52x = 3,971.04 × 2,157.76
  4. Step 4: Simplify right side
    2,643.52x = 8,568,551.27
  5. Step 5: Solve for x
    x = 8,568,551.27/2,643.52
  6. Step 6: Final answer
    x = 3,241.34

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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.