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Finding the Fourth Proportional to 3,977, 5,488.26 and 2,321

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Solution

The fourth proportional to 3,977, 5,488.26 and 2,321 is: 3,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977 : 5,488.26 = 2,321 : x
  2. Step 2: Convert to fraction form
    3,977/5,488.26 = 2,321/x
  3. Step 3: Cross multiply
    3,977x = 5,488.26 × 2,321
  4. Step 4: Simplify right side
    3,977x = 12,738,251.46
  5. Step 5: Solve for x
    x = 12,738,251.46/3,977
  6. Step 6: Final answer
    x = 3,202.98

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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.