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Finding the Fourth Proportional to 1,961.98, 2,942.79 and 663.46

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Solution

The fourth proportional to 1,961.98, 2,942.79 and 663.46 is: 995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.98 : 2,942.79 = 663.46 : x
  2. Step 2: Convert to fraction form
    1,961.98/2,942.79 = 663.46/x
  3. Step 3: Cross multiply
    1,961.98x = 2,942.79 × 663.46
  4. Step 4: Simplify right side
    1,961.98x = 1,952,423.45
  5. Step 5: Solve for x
    x = 1,952,423.45/1,961.98
  6. Step 6: Final answer
    x = 995.13

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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.