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Finding the Fourth Proportional to 3,855.87, 5,780.57 and 1,548.99

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Solution

The fourth proportional to 3,855.87, 5,780.57 and 1,548.99 is: 2,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.87 : 5,780.57 = 1,548.99 : x
  2. Step 2: Convert to fraction form
    3,855.87/5,780.57 = 1,548.99/x
  3. Step 3: Cross multiply
    3,855.87x = 5,780.57 × 1,548.99
  4. Step 4: Simplify right side
    3,855.87x = 8,954,037.38
  5. Step 5: Solve for x
    x = 8,954,037.38/3,855.87
  6. Step 6: Final answer
    x = 2,322.18

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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.