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Finding the Fourth Proportional to 2,313.81, 3,469.83 and 753.39

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Solution

The fourth proportional to 2,313.81, 3,469.83 and 753.39 is: 1,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.81 : 3,469.83 = 753.39 : x
  2. Step 2: Convert to fraction form
    2,313.81/3,469.83 = 753.39/x
  3. Step 3: Cross multiply
    2,313.81x = 3,469.83 × 753.39
  4. Step 4: Simplify right side
    2,313.81x = 2,614,135.22
  5. Step 5: Solve for x
    x = 2,614,135.22/2,313.81
  6. Step 6: Final answer
    x = 1,129.80

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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.