Home / 5,107-7,664.10-2,029.72

Finding the Fourth Proportional to 5,107, 7,664.10 and 2,029.72

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Solution

The fourth proportional to 5,107, 7,664.10 and 2,029.72 is: 3,046.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107 : 7,664.10 = 2,029.72 : x
  2. Step 2: Convert to fraction form
    5,107/7,664.10 = 2,029.72/x
  3. Step 3: Cross multiply
    5,107x = 7,664.10 × 2,029.72
  4. Step 4: Simplify right side
    5,107x = 15,555,977.05
  5. Step 5: Solve for x
    x = 15,555,977.05/5,107
  6. Step 6: Final answer
    x = 3,046.01

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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.