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Finding the Fourth Proportional to 1,600.50, 2,207.48 and 1,103.97

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Solution

The fourth proportional to 1,600.50, 2,207.48 and 1,103.97 is: 1,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.50 : 2,207.48 = 1,103.97 : x
  2. Step 2: Convert to fraction form
    1,600.50/2,207.48 = 1,103.97/x
  3. Step 3: Cross multiply
    1,600.50x = 2,207.48 × 1,103.97
  4. Step 4: Simplify right side
    1,600.50x = 2,436,986.18
  5. Step 5: Solve for x
    x = 2,436,986.18/1,600.50
  6. Step 6: Final answer
    x = 1,522.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.