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Finding the Fourth Proportional to 7,671, 11,499.64 and 2,739.92

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Solution

The fourth proportional to 7,671, 11,499.64 and 2,739.92 is: 4,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671 : 11,499.64 = 2,739.92 : x
  2. Step 2: Convert to fraction form
    7,671/11,499.64 = 2,739.92/x
  3. Step 3: Cross multiply
    7,671x = 11,499.64 × 2,739.92
  4. Step 4: Simplify right side
    7,671x = 31,508,093.63
  5. Step 5: Solve for x
    x = 31,508,093.63/7,671
  6. Step 6: Final answer
    x = 4,107.43

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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.