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Finding the Fourth Proportional to 5,635, 8,453.62 and 1,739.24

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Solution

The fourth proportional to 5,635, 8,453.62 and 1,739.24 is: 2,609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635 : 8,453.62 = 1,739.24 : x
  2. Step 2: Convert to fraction form
    5,635/8,453.62 = 1,739.24/x
  3. Step 3: Cross multiply
    5,635x = 8,453.62 × 1,739.24
  4. Step 4: Simplify right side
    5,635x = 14,702,874.05
  5. Step 5: Solve for x
    x = 14,702,874.05/5,635
  6. Step 6: Final answer
    x = 2,609.21

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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.