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Finding the Fourth Proportional to 5,625.96, 8,430 and 3,770.22

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Solution

The fourth proportional to 5,625.96, 8,430 and 3,770.22 is: 5,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.96 : 8,430 = 3,770.22 : x
  2. Step 2: Convert to fraction form
    5,625.96/8,430 = 3,770.22/x
  3. Step 3: Cross multiply
    5,625.96x = 8,430 × 3,770.22
  4. Step 4: Simplify right side
    5,625.96x = 31,782,954.60
  5. Step 5: Solve for x
    x = 31,782,954.60/5,625.96
  6. Step 6: Final answer
    x = 5,649.34

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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.