Home / 2,057.19-3,086.32-824.64

Finding the Fourth Proportional to 2,057.19, 3,086.32 and 824.64

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Solution

The fourth proportional to 2,057.19, 3,086.32 and 824.64 is: 1,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.19 : 3,086.32 = 824.64 : x
  2. Step 2: Convert to fraction form
    2,057.19/3,086.32 = 824.64/x
  3. Step 3: Cross multiply
    2,057.19x = 3,086.32 × 824.64
  4. Step 4: Simplify right side
    2,057.19x = 2,545,102.92
  5. Step 5: Solve for x
    x = 2,545,102.92/2,057.19
  6. Step 6: Final answer
    x = 1,237.17

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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.