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Finding the Fourth Proportional to 2,555.87, 3,834.88 and 1,095.71

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Solution

The fourth proportional to 2,555.87, 3,834.88 and 1,095.71 is: 1,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.87 : 3,834.88 = 1,095.71 : x
  2. Step 2: Convert to fraction form
    2,555.87/3,834.88 = 1,095.71/x
  3. Step 3: Cross multiply
    2,555.87x = 3,834.88 × 1,095.71
  4. Step 4: Simplify right side
    2,555.87x = 4,201,916.36
  5. Step 5: Solve for x
    x = 4,201,916.36/2,555.87
  6. Step 6: Final answer
    x = 1,644.03

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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.