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Finding the Fourth Proportional to 2,609.98, 3,914.92 and 635.62

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Solution

The fourth proportional to 2,609.98, 3,914.92 and 635.62 is: 953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.98 : 3,914.92 = 635.62 : x
  2. Step 2: Convert to fraction form
    2,609.98/3,914.92 = 635.62/x
  3. Step 3: Cross multiply
    2,609.98x = 3,914.92 × 635.62
  4. Step 4: Simplify right side
    2,609.98x = 2,488,407.23
  5. Step 5: Solve for x
    x = 2,488,407.23/2,609.98
  6. Step 6: Final answer
    x = 953.42

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1.5x scale

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.