Home / 2,286.76-3,431.31-971.41

Finding the Fourth Proportional to 2,286.76, 3,431.31 and 971.41

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Solution

The fourth proportional to 2,286.76, 3,431.31 and 971.41 is: 1,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.76 : 3,431.31 = 971.41 : x
  2. Step 2: Convert to fraction form
    2,286.76/3,431.31 = 971.41/x
  3. Step 3: Cross multiply
    2,286.76x = 3,431.31 × 971.41
  4. Step 4: Simplify right side
    2,286.76x = 3,333,208.85
  5. Step 5: Solve for x
    x = 3,333,208.85/2,286.76
  6. Step 6: Final answer
    x = 1,457.61

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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.