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Finding the Fourth Proportional to 4,137.76, 6,208.64 and 1,828.96

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Solution

The fourth proportional to 4,137.76, 6,208.64 and 1,828.96 is: 2,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.76 : 6,208.64 = 1,828.96 : x
  2. Step 2: Convert to fraction form
    4,137.76/6,208.64 = 1,828.96/x
  3. Step 3: Cross multiply
    4,137.76x = 6,208.64 × 1,828.96
  4. Step 4: Simplify right side
    4,137.76x = 11,355,354.21
  5. Step 5: Solve for x
    x = 11,355,354.21/4,137.76
  6. Step 6: Final answer
    x = 2,744.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.