Home / 1,409.08-2,112.88-824.28

Finding the Fourth Proportional to 1,409.08, 2,112.88 and 824.28

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Solution

The fourth proportional to 1,409.08, 2,112.88 and 824.28 is: 1,235.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.08 : 2,112.88 = 824.28 : x
  2. Step 2: Convert to fraction form
    1,409.08/2,112.88 = 824.28/x
  3. Step 3: Cross multiply
    1,409.08x = 2,112.88 × 824.28
  4. Step 4: Simplify right side
    1,409.08x = 1,741,604.73
  5. Step 5: Solve for x
    x = 1,741,604.73/1,409.08
  6. Step 6: Final answer
    x = 1,235.99

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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.