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Finding the Fourth Proportional to 2,544.48, 3,809.87 and 1,615

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Solution

The fourth proportional to 2,544.48, 3,809.87 and 1,615 is: 2,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.48 : 3,809.87 = 1,615 : x
  2. Step 2: Convert to fraction form
    2,544.48/3,809.87 = 1,615/x
  3. Step 3: Cross multiply
    2,544.48x = 3,809.87 × 1,615
  4. Step 4: Simplify right side
    2,544.48x = 6,152,940.05
  5. Step 5: Solve for x
    x = 6,152,940.05/2,544.48
  6. Step 6: Final answer
    x = 2,418.16

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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.