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Finding the Fourth Proportional to 2,609.82, 3,915.95 and 2,579.45

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Solution

The fourth proportional to 2,609.82, 3,915.95 and 2,579.45 is: 3,870.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.82 : 3,915.95 = 2,579.45 : x
  2. Step 2: Convert to fraction form
    2,609.82/3,915.95 = 2,579.45/x
  3. Step 3: Cross multiply
    2,609.82x = 3,915.95 × 2,579.45
  4. Step 4: Simplify right side
    2,609.82x = 10,100,964.75
  5. Step 5: Solve for x
    x = 10,100,964.75/2,609.82
  6. Step 6: Final answer
    x = 3,870.37

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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.