Home / 5,230.31-7,842.42-2,107.76

Finding the Fourth Proportional to 5,230.31, 7,842.42 and 2,107.76

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Solution

The fourth proportional to 5,230.31, 7,842.42 and 2,107.76 is: 3,160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.31 : 7,842.42 = 2,107.76 : x
  2. Step 2: Convert to fraction form
    5,230.31/7,842.42 = 2,107.76/x
  3. Step 3: Cross multiply
    5,230.31x = 7,842.42 × 2,107.76
  4. Step 4: Simplify right side
    5,230.31x = 16,529,899.97
  5. Step 5: Solve for x
    x = 16,529,899.97/5,230.31
  6. Step 6: Final answer
    x = 3,160.41

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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.