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Finding the Fourth Proportional to 3,809.88, 5,715.44 and 1,729.80

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Solution

The fourth proportional to 3,809.88, 5,715.44 and 1,729.80 is: 2,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.88 : 5,715.44 = 1,729.80 : x
  2. Step 2: Convert to fraction form
    3,809.88/5,715.44 = 1,729.80/x
  3. Step 3: Cross multiply
    3,809.88x = 5,715.44 × 1,729.80
  4. Step 4: Simplify right side
    3,809.88x = 9,886,559.46
  5. Step 5: Solve for x
    x = 9,886,559.46/3,809.88
  6. Step 6: Final answer
    x = 2,594.98

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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.