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Finding the Fourth Proportional to 2,341.31, 3,511.73 and 609.93

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Solution

The fourth proportional to 2,341.31, 3,511.73 and 609.93 is: 914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.31 : 3,511.73 = 609.93 : x
  2. Step 2: Convert to fraction form
    2,341.31/3,511.73 = 609.93/x
  3. Step 3: Cross multiply
    2,341.31x = 3,511.73 × 609.93
  4. Step 4: Simplify right side
    2,341.31x = 2,141,906.43
  5. Step 5: Solve for x
    x = 2,141,906.43/2,341.31
  6. Step 6: Final answer
    x = 914.83

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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.