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Finding the Fourth Proportional to 2,612, 3,578.48 and 2,513.60

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Solution

The fourth proportional to 2,612, 3,578.48 and 2,513.60 is: 3,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612 : 3,578.48 = 2,513.60 : x
  2. Step 2: Convert to fraction form
    2,612/3,578.48 = 2,513.60/x
  3. Step 3: Cross multiply
    2,612x = 3,578.48 × 2,513.60
  4. Step 4: Simplify right side
    2,612x = 8,994,867.33
  5. Step 5: Solve for x
    x = 8,994,867.33/2,612
  6. Step 6: Final answer
    x = 3,443.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.