Home / 2,286.23-3,429.34-824.78

Finding the Fourth Proportional to 2,286.23, 3,429.34 and 824.78

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Solution

The fourth proportional to 2,286.23, 3,429.34 and 824.78 is: 1,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.23 : 3,429.34 = 824.78 : x
  2. Step 2: Convert to fraction form
    2,286.23/3,429.34 = 824.78/x
  3. Step 3: Cross multiply
    2,286.23x = 3,429.34 × 824.78
  4. Step 4: Simplify right side
    2,286.23x = 2,828,457.56
  5. Step 5: Solve for x
    x = 2,828,457.56/2,286.23
  6. Step 6: Final answer
    x = 1,237.17

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1.5x scale

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.