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Finding the Fourth Proportional to 2,340.96, 3,511.44 and 609.54

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Solution

The fourth proportional to 2,340.96, 3,511.44 and 609.54 is: 914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.96 : 3,511.44 = 609.54 : x
  2. Step 2: Convert to fraction form
    2,340.96/3,511.44 = 609.54/x
  3. Step 3: Cross multiply
    2,340.96x = 3,511.44 × 609.54
  4. Step 4: Simplify right side
    2,340.96x = 2,140,363.14
  5. Step 5: Solve for x
    x = 2,140,363.14/2,340.96
  6. Step 6: Final answer
    x = 914.31

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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.