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Finding the Fourth Proportional to 3,857.12, 5,788.44 and 1,548.56

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Solution

The fourth proportional to 3,857.12, 5,788.44 and 1,548.56 is: 2,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.12 : 5,788.44 = 1,548.56 : x
  2. Step 2: Convert to fraction form
    3,857.12/5,788.44 = 1,548.56/x
  3. Step 3: Cross multiply
    3,857.12x = 5,788.44 × 1,548.56
  4. Step 4: Simplify right side
    3,857.12x = 8,963,746.65
  5. Step 5: Solve for x
    x = 8,963,746.65/3,857.12
  6. Step 6: Final answer
    x = 2,323.95

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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.