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Finding the Fourth Proportional to 1,663.40, 2,213.79 and 1,663.40

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Solution

The fourth proportional to 1,663.40, 2,213.79 and 1,663.40 is: 2,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.40 : 2,213.79 = 1,663.40 : x
  2. Step 2: Convert to fraction form
    1,663.40/2,213.79 = 1,663.40/x
  3. Step 3: Cross multiply
    1,663.40x = 2,213.79 × 1,663.40
  4. Step 4: Simplify right side
    1,663.40x = 3,682,418.29
  5. Step 5: Solve for x
    x = 3,682,418.29/1,663.40
  6. Step 6: Final answer
    x = 2,213.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.