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Finding the Fourth Proportional to 3,977.12, 5,487 and 2,404.64

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Solution

The fourth proportional to 3,977.12, 5,487 and 2,404.64 is: 3,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.12 : 5,487 = 2,404.64 : x
  2. Step 2: Convert to fraction form
    3,977.12/5,487 = 2,404.64/x
  3. Step 3: Cross multiply
    3,977.12x = 5,487 × 2,404.64
  4. Step 4: Simplify right side
    3,977.12x = 13,194,259.68
  5. Step 5: Solve for x
    x = 13,194,259.68/3,977.12
  6. Step 6: Final answer
    x = 3,317.54

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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.