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Finding the Fourth Proportional to 1,694.50, 2,537.08 and 1,447.64

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Solution

The fourth proportional to 1,694.50, 2,537.08 and 1,447.64 is: 2,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.50 : 2,537.08 = 1,447.64 : x
  2. Step 2: Convert to fraction form
    1,694.50/2,537.08 = 1,447.64/x
  3. Step 3: Cross multiply
    1,694.50x = 2,537.08 × 1,447.64
  4. Step 4: Simplify right side
    1,694.50x = 3,672,778.49
  5. Step 5: Solve for x
    x = 3,672,778.49/1,694.50
  6. Step 6: Final answer
    x = 2,167.47

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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.