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Finding the Fourth Proportional to 2,313.09, 3,469.64 and 753.23

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Solution

The fourth proportional to 2,313.09, 3,469.64 and 753.23 is: 1,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.09 : 3,469.64 = 753.23 : x
  2. Step 2: Convert to fraction form
    2,313.09/3,469.64 = 753.23/x
  3. Step 3: Cross multiply
    2,313.09x = 3,469.64 × 753.23
  4. Step 4: Simplify right side
    2,313.09x = 2,613,441.85
  5. Step 5: Solve for x
    x = 2,613,441.85/2,313.09
  6. Step 6: Final answer
    x = 1,129.85

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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.