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Finding the Fourth Proportional to 1,324.98, 1,996.88 and 1,313.64

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Solution

The fourth proportional to 1,324.98, 1,996.88 and 1,313.64 is: 1,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.98 : 1,996.88 = 1,313.64 : x
  2. Step 2: Convert to fraction form
    1,324.98/1,996.88 = 1,313.64/x
  3. Step 3: Cross multiply
    1,324.98x = 1,996.88 × 1,313.64
  4. Step 4: Simplify right side
    1,324.98x = 2,623,174.88
  5. Step 5: Solve for x
    x = 2,623,174.88/1,324.98
  6. Step 6: Final answer
    x = 1,979.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.