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Finding the Fourth Proportional to 2,498.63, 3,728.94 and 2,221.84

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Solution

The fourth proportional to 2,498.63, 3,728.94 and 2,221.84 is: 3,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.63 : 3,728.94 = 2,221.84 : x
  2. Step 2: Convert to fraction form
    2,498.63/3,728.94 = 2,221.84/x
  3. Step 3: Cross multiply
    2,498.63x = 3,728.94 × 2,221.84
  4. Step 4: Simplify right side
    2,498.63x = 8,285,108.05
  5. Step 5: Solve for x
    x = 8,285,108.05/2,498.63
  6. Step 6: Final answer
    x = 3,315.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.