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Finding the Fourth Proportional to 3,878.44, 5,827.20 and 2,492.32

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Solution

The fourth proportional to 3,878.44, 5,827.20 and 2,492.32 is: 3,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.44 : 5,827.20 = 2,492.32 : x
  2. Step 2: Convert to fraction form
    3,878.44/5,827.20 = 2,492.32/x
  3. Step 3: Cross multiply
    3,878.44x = 5,827.20 × 2,492.32
  4. Step 4: Simplify right side
    3,878.44x = 14,523,247.10
  5. Step 5: Solve for x
    x = 14,523,247.10/3,878.44
  6. Step 6: Final answer
    x = 3,744.61

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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.