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Finding the Fourth Proportional to 2,777.68, 3,827.82 and 2,113.48

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Solution

The fourth proportional to 2,777.68, 3,827.82 and 2,113.48 is: 2,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.68 : 3,827.82 = 2,113.48 : x
  2. Step 2: Convert to fraction form
    2,777.68/3,827.82 = 2,113.48/x
  3. Step 3: Cross multiply
    2,777.68x = 3,827.82 × 2,113.48
  4. Step 4: Simplify right side
    2,777.68x = 8,090,021.01
  5. Step 5: Solve for x
    x = 8,090,021.01/2,777.68
  6. Step 6: Final answer
    x = 2,912.51

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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.