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Finding the Fourth Proportional to 2,773.48, 4,156.36 and 2,154.36

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Solution

The fourth proportional to 2,773.48, 4,156.36 and 2,154.36 is: 3,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.48 : 4,156.36 = 2,154.36 : x
  2. Step 2: Convert to fraction form
    2,773.48/4,156.36 = 2,154.36/x
  3. Step 3: Cross multiply
    2,773.48x = 4,156.36 × 2,154.36
  4. Step 4: Simplify right side
    2,773.48x = 8,954,295.73
  5. Step 5: Solve for x
    x = 8,954,295.73/2,773.48
  6. Step 6: Final answer
    x = 3,228.54

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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.