Home / 2,313.14-3,469.72-581.76

Finding the Fourth Proportional to 2,313.14, 3,469.72 and 581.76

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Solution

The fourth proportional to 2,313.14, 3,469.72 and 581.76 is: 872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.14 : 3,469.72 = 581.76 : x
  2. Step 2: Convert to fraction form
    2,313.14/3,469.72 = 581.76/x
  3. Step 3: Cross multiply
    2,313.14x = 3,469.72 × 581.76
  4. Step 4: Simplify right side
    2,313.14x = 2,018,544.31
  5. Step 5: Solve for x
    x = 2,018,544.31/2,313.14
  6. Step 6: Final answer
    x = 872.64

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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.