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Finding the Fourth Proportional to 2,311.48, 3,469.94 and 1,945.40

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Solution

The fourth proportional to 2,311.48, 3,469.94 and 1,945.40 is: 2,920.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.48 : 3,469.94 = 1,945.40 : x
  2. Step 2: Convert to fraction form
    2,311.48/3,469.94 = 1,945.40/x
  3. Step 3: Cross multiply
    2,311.48x = 3,469.94 × 1,945.40
  4. Step 4: Simplify right side
    2,311.48x = 6,750,421.28
  5. Step 5: Solve for x
    x = 6,750,421.28/2,311.48
  6. Step 6: Final answer
    x = 2,920.39

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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.