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Finding the Fourth Proportional to 2,609.64, 3,915 and 1,376.37

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Solution

The fourth proportional to 2,609.64, 3,915 and 1,376.37 is: 2,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.64 : 3,915 = 1,376.37 : x
  2. Step 2: Convert to fraction form
    2,609.64/3,915 = 1,376.37/x
  3. Step 3: Cross multiply
    2,609.64x = 3,915 × 1,376.37
  4. Step 4: Simplify right side
    2,609.64x = 5,388,488.55
  5. Step 5: Solve for x
    x = 5,388,488.55/2,609.64
  6. Step 6: Final answer
    x = 2,064.84

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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.