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Finding the Fourth Proportional to 3,855.78, 5,315.32 and 2,733.24

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Solution

The fourth proportional to 3,855.78, 5,315.32 and 2,733.24 is: 3,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.78 : 5,315.32 = 2,733.24 : x
  2. Step 2: Convert to fraction form
    3,855.78/5,315.32 = 2,733.24/x
  3. Step 3: Cross multiply
    3,855.78x = 5,315.32 × 2,733.24
  4. Step 4: Simplify right side
    3,855.78x = 14,528,045.24
  5. Step 5: Solve for x
    x = 14,528,045.24/3,855.78
  6. Step 6: Final answer
    x = 3,767.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.