Home / 2,057.16-3,086.97-824.40

Finding the Fourth Proportional to 2,057.16, 3,086.97 and 824.40

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Solution

The fourth proportional to 2,057.16, 3,086.97 and 824.40 is: 1,237.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.16 : 3,086.97 = 824.40 : x
  2. Step 2: Convert to fraction form
    2,057.16/3,086.97 = 824.40/x
  3. Step 3: Cross multiply
    2,057.16x = 3,086.97 × 824.40
  4. Step 4: Simplify right side
    2,057.16x = 2,544,898.07
  5. Step 5: Solve for x
    x = 2,544,898.07/2,057.16
  6. Step 6: Final answer
    x = 1,237.09

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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.