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Finding the Fourth Proportional to 2,700.86, 4,047.24 and 2,083.64

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Solution

The fourth proportional to 2,700.86, 4,047.24 and 2,083.64 is: 3,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.86 : 4,047.24 = 2,083.64 : x
  2. Step 2: Convert to fraction form
    2,700.86/4,047.24 = 2,083.64/x
  3. Step 3: Cross multiply
    2,700.86x = 4,047.24 × 2,083.64
  4. Step 4: Simplify right side
    2,700.86x = 8,432,991.15
  5. Step 5: Solve for x
    x = 8,432,991.15/2,700.86
  6. Step 6: Final answer
    x = 3,122.34

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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.