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Finding the Fourth Proportional to 2,104.92, 3,156.91 and 644.09

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Solution

The fourth proportional to 2,104.92, 3,156.91 and 644.09 is: 965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.92 : 3,156.91 = 644.09 : x
  2. Step 2: Convert to fraction form
    2,104.92/3,156.91 = 644.09/x
  3. Step 3: Cross multiply
    2,104.92x = 3,156.91 × 644.09
  4. Step 4: Simplify right side
    2,104.92x = 2,033,316.77
  5. Step 5: Solve for x
    x = 2,033,316.77/2,104.92
  6. Step 6: Final answer
    x = 965.98

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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.