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Finding the Fourth Proportional to 2,740.87, 4,111.86 and 892

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Solution

The fourth proportional to 2,740.87, 4,111.86 and 892 is: 1,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.87 : 4,111.86 = 892 : x
  2. Step 2: Convert to fraction form
    2,740.87/4,111.86 = 892/x
  3. Step 3: Cross multiply
    2,740.87x = 4,111.86 × 892
  4. Step 4: Simplify right side
    2,740.87x = 3,667,779.12
  5. Step 5: Solve for x
    x = 3,667,779.12/2,740.87
  6. Step 6: Final answer
    x = 1,338.18

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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.