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Finding the Fourth Proportional to 2,638.80, 3,967.80 and 2,216.40

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Solution

The fourth proportional to 2,638.80, 3,967.80 and 2,216.40 is: 3,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.80 : 3,967.80 = 2,216.40 : x
  2. Step 2: Convert to fraction form
    2,638.80/3,967.80 = 2,216.40/x
  3. Step 3: Cross multiply
    2,638.80x = 3,967.80 × 2,216.40
  4. Step 4: Simplify right side
    2,638.80x = 8,794,231.92
  5. Step 5: Solve for x
    x = 8,794,231.92/2,638.80
  6. Step 6: Final answer
    x = 3,332.66

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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.