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Finding the Fourth Proportional to 2,550.96, 3,520.26 and 1,503

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Solution

The fourth proportional to 2,550.96, 3,520.26 and 1,503 is: 2,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.96 : 3,520.26 = 1,503 : x
  2. Step 2: Convert to fraction form
    2,550.96/3,520.26 = 1,503/x
  3. Step 3: Cross multiply
    2,550.96x = 3,520.26 × 1,503
  4. Step 4: Simplify right side
    2,550.96x = 5,290,950.78
  5. Step 5: Solve for x
    x = 5,290,950.78/2,550.96
  6. Step 6: Final answer
    x = 2,074.10

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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.