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Finding the Fourth Proportional to 3,777.57, 5,212.80 and 2,098.89

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Solution

The fourth proportional to 3,777.57, 5,212.80 and 2,098.89 is: 2,896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.57 : 5,212.80 = 2,098.89 : x
  2. Step 2: Convert to fraction form
    3,777.57/5,212.80 = 2,098.89/x
  3. Step 3: Cross multiply
    3,777.57x = 5,212.80 × 2,098.89
  4. Step 4: Simplify right side
    3,777.57x = 10,941,093.79
  5. Step 5: Solve for x
    x = 10,941,093.79/3,777.57
  6. Step 6: Final answer
    x = 2,896.33

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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.