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Finding the Fourth Proportional to 2,765.76, 4,155.12 and 2,551.92

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Solution

The fourth proportional to 2,765.76, 4,155.12 and 2,551.92 is: 3,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.76 : 4,155.12 = 2,551.92 : x
  2. Step 2: Convert to fraction form
    2,765.76/4,155.12 = 2,551.92/x
  3. Step 3: Cross multiply
    2,765.76x = 4,155.12 × 2,551.92
  4. Step 4: Simplify right side
    2,765.76x = 10,603,533.83
  5. Step 5: Solve for x
    x = 10,603,533.83/2,765.76
  6. Step 6: Final answer
    x = 3,833.86

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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.