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Finding the Fourth Proportional to 4,945, 6,824.10 and 2,737

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Solution

The fourth proportional to 4,945, 6,824.10 and 2,737 is: 3,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945 : 6,824.10 = 2,737 : x
  2. Step 2: Convert to fraction form
    4,945/6,824.10 = 2,737/x
  3. Step 3: Cross multiply
    4,945x = 6,824.10 × 2,737
  4. Step 4: Simplify right side
    4,945x = 18,677,561.70
  5. Step 5: Solve for x
    x = 18,677,561.70/4,945
  6. Step 6: Final answer
    x = 3,777.06

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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.