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Finding the Fourth Proportional to 7,878.12, 11,815.53 and 3,492.78

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Solution

The fourth proportional to 7,878.12, 11,815.53 and 3,492.78 is: 5,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.12 : 11,815.53 = 3,492.78 : x
  2. Step 2: Convert to fraction form
    7,878.12/11,815.53 = 3,492.78/x
  3. Step 3: Cross multiply
    7,878.12x = 11,815.53 × 3,492.78
  4. Step 4: Simplify right side
    7,878.12x = 41,269,046.87
  5. Step 5: Solve for x
    x = 41,269,046.87/7,878.12
  6. Step 6: Final answer
    x = 5,238.44

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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.