Home / 2,154.14-3,231.65-694.31

Finding the Fourth Proportional to 2,154.14, 3,231.65 and 694.31

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Solution

The fourth proportional to 2,154.14, 3,231.65 and 694.31 is: 1,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.14 : 3,231.65 = 694.31 : x
  2. Step 2: Convert to fraction form
    2,154.14/3,231.65 = 694.31/x
  3. Step 3: Cross multiply
    2,154.14x = 3,231.65 × 694.31
  4. Step 4: Simplify right side
    2,154.14x = 2,243,747.28
  5. Step 5: Solve for x
    x = 2,243,747.28/2,154.14
  6. Step 6: Final answer
    x = 1,041.60

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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.