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Finding the Fourth Proportional to 2,509.92, 3,762 and 1,414.80

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Solution

The fourth proportional to 2,509.92, 3,762 and 1,414.80 is: 2,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.92 : 3,762 = 1,414.80 : x
  2. Step 2: Convert to fraction form
    2,509.92/3,762 = 1,414.80/x
  3. Step 3: Cross multiply
    2,509.92x = 3,762 × 1,414.80
  4. Step 4: Simplify right side
    2,509.92x = 5,322,477.60
  5. Step 5: Solve for x
    x = 5,322,477.60/2,509.92
  6. Step 6: Final answer
    x = 2,120.58

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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.