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Finding the Fourth Proportional to 2,783, 4,161.96 and 2,125.08

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Solution

The fourth proportional to 2,783, 4,161.96 and 2,125.08 is: 3,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783 : 4,161.96 = 2,125.08 : x
  2. Step 2: Convert to fraction form
    2,783/4,161.96 = 2,125.08/x
  3. Step 3: Cross multiply
    2,783x = 4,161.96 × 2,125.08
  4. Step 4: Simplify right side
    2,783x = 8,844,497.96
  5. Step 5: Solve for x
    x = 8,844,497.96/2,783
  6. Step 6: Final answer
    x = 3,178.04

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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.