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Finding the Fourth Proportional to 2,477, 3,408 and 2,144.36

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Solution

The fourth proportional to 2,477, 3,408 and 2,144.36 is: 2,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477 : 3,408 = 2,144.36 : x
  2. Step 2: Convert to fraction form
    2,477/3,408 = 2,144.36/x
  3. Step 3: Cross multiply
    2,477x = 3,408 × 2,144.36
  4. Step 4: Simplify right side
    2,477x = 7,307,978.88
  5. Step 5: Solve for x
    x = 7,307,978.88/2,477
  6. Step 6: Final answer
    x = 2,950.33

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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.