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Finding the Fourth Proportional to 2,102, 3,152.94 and 640.94

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Solution

The fourth proportional to 2,102, 3,152.94 and 640.94 is: 961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102 : 3,152.94 = 640.94 : x
  2. Step 2: Convert to fraction form
    2,102/3,152.94 = 640.94/x
  3. Step 3: Cross multiply
    2,102x = 3,152.94 × 640.94
  4. Step 4: Simplify right side
    2,102x = 2,020,845.36
  5. Step 5: Solve for x
    x = 2,020,845.36/2,102
  6. Step 6: Final answer
    x = 961.39

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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.