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Finding the Fourth Proportional to 2,640.78, 3,962.70 and 998.46

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Solution

The fourth proportional to 2,640.78, 3,962.70 and 998.46 is: 1,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.78 : 3,962.70 = 998.46 : x
  2. Step 2: Convert to fraction form
    2,640.78/3,962.70 = 998.46/x
  3. Step 3: Cross multiply
    2,640.78x = 3,962.70 × 998.46
  4. Step 4: Simplify right side
    2,640.78x = 3,956,597.44
  5. Step 5: Solve for x
    x = 3,956,597.44/2,640.78
  6. Step 6: Final answer
    x = 1,498.27

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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.