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Finding the Fourth Proportional to 1,884.86, 2,811.99 and 1,782.80

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Solution

The fourth proportional to 1,884.86, 2,811.99 and 1,782.80 is: 2,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.86 : 2,811.99 = 1,782.80 : x
  2. Step 2: Convert to fraction form
    1,884.86/2,811.99 = 1,782.80/x
  3. Step 3: Cross multiply
    1,884.86x = 2,811.99 × 1,782.80
  4. Step 4: Simplify right side
    1,884.86x = 5,013,208.91
  5. Step 5: Solve for x
    x = 5,013,208.91/1,884.86
  6. Step 6: Final answer
    x = 2,659.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.