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Finding the Fourth Proportional to 3,606.86, 4,977.42 and 2,013.44

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Solution

The fourth proportional to 3,606.86, 4,977.42 and 2,013.44 is: 2,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.86 : 4,977.42 = 2,013.44 : x
  2. Step 2: Convert to fraction form
    3,606.86/4,977.42 = 2,013.44/x
  3. Step 3: Cross multiply
    3,606.86x = 4,977.42 × 2,013.44
  4. Step 4: Simplify right side
    3,606.86x = 10,021,736.52
  5. Step 5: Solve for x
    x = 10,021,736.52/3,606.86
  6. Step 6: Final answer
    x = 2,778.52

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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.