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Finding the Fourth Proportional to 2,813.88, 3,881.14 and 2,149.60

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Solution

The fourth proportional to 2,813.88, 3,881.14 and 2,149.60 is: 2,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.88 : 3,881.14 = 2,149.60 : x
  2. Step 2: Convert to fraction form
    2,813.88/3,881.14 = 2,149.60/x
  3. Step 3: Cross multiply
    2,813.88x = 3,881.14 × 2,149.60
  4. Step 4: Simplify right side
    2,813.88x = 8,342,898.54
  5. Step 5: Solve for x
    x = 8,342,898.54/2,813.88
  6. Step 6: Final answer
    x = 2,964.91

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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.