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Finding the Fourth Proportional to 2,309.36, 3,462.42 and 923

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Solution

The fourth proportional to 2,309.36, 3,462.42 and 923 is: 1,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.36 : 3,462.42 = 923 : x
  2. Step 2: Convert to fraction form
    2,309.36/3,462.42 = 923/x
  3. Step 3: Cross multiply
    2,309.36x = 3,462.42 × 923
  4. Step 4: Simplify right side
    2,309.36x = 3,195,813.66
  5. Step 5: Solve for x
    x = 3,195,813.66/2,309.36
  6. Step 6: Final answer
    x = 1,383.85

Related Problems

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Double scale
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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.