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Finding the Fourth Proportional to 2,724.86, 4,083.86 and 1,555.86

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Solution

The fourth proportional to 2,724.86, 4,083.86 and 1,555.86 is: 2,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.86 : 4,083.86 = 1,555.86 : x
  2. Step 2: Convert to fraction form
    2,724.86/4,083.86 = 1,555.86/x
  3. Step 3: Cross multiply
    2,724.86x = 4,083.86 × 1,555.86
  4. Step 4: Simplify right side
    2,724.86x = 6,353,914.42
  5. Step 5: Solve for x
    x = 6,353,914.42/2,724.86
  6. Step 6: Final answer
    x = 2,331.83

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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.