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Finding the Fourth Proportional to 2,773.59, 4,156.92 and 1,783.77

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Solution

The fourth proportional to 2,773.59, 4,156.92 and 1,783.77 is: 2,673.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.59 : 4,156.92 = 1,783.77 : x
  2. Step 2: Convert to fraction form
    2,773.59/4,156.92 = 1,783.77/x
  3. Step 3: Cross multiply
    2,773.59x = 4,156.92 × 1,783.77
  4. Step 4: Simplify right side
    2,773.59x = 7,414,989.19
  5. Step 5: Solve for x
    x = 7,414,989.19/2,773.59
  6. Step 6: Final answer
    x = 2,673.43

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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.