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Finding the Fourth Proportional to 2,778.57, 3,833.42 and 1,784.39

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Solution

The fourth proportional to 2,778.57, 3,833.42 and 1,784.39 is: 2,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.57 : 3,833.42 = 1,784.39 : x
  2. Step 2: Convert to fraction form
    2,778.57/3,833.42 = 1,784.39/x
  3. Step 3: Cross multiply
    2,778.57x = 3,833.42 × 1,784.39
  4. Step 4: Simplify right side
    2,778.57x = 6,840,288.22
  5. Step 5: Solve for x
    x = 6,840,288.22/2,778.57
  6. Step 6: Final answer
    x = 2,461.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.