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Finding the Fourth Proportional to 5,563.88, 7,669.28 and 3,770.80

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Solution

The fourth proportional to 5,563.88, 7,669.28 and 3,770.80 is: 5,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.88 : 7,669.28 = 3,770.80 : x
  2. Step 2: Convert to fraction form
    5,563.88/7,669.28 = 3,770.80/x
  3. Step 3: Cross multiply
    5,563.88x = 7,669.28 × 3,770.80
  4. Step 4: Simplify right side
    5,563.88x = 28,919,321.02
  5. Step 5: Solve for x
    x = 28,919,321.02/5,563.88
  6. Step 6: Final answer
    x = 5,197.69

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1.5x scale

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.