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Finding the Fourth Proportional to 2,573, 3,550.76 and 1,525.96

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Solution

The fourth proportional to 2,573, 3,550.76 and 1,525.96 is: 2,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573 : 3,550.76 = 1,525.96 : x
  2. Step 2: Convert to fraction form
    2,573/3,550.76 = 1,525.96/x
  3. Step 3: Cross multiply
    2,573x = 3,550.76 × 1,525.96
  4. Step 4: Simplify right side
    2,573x = 5,418,317.73
  5. Step 5: Solve for x
    x = 5,418,317.73/2,573
  6. Step 6: Final answer
    x = 2,105.84

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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.