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Finding the Fourth Proportional to 11,900, 17,850.12 and 4,878.21

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Solution

The fourth proportional to 11,900, 17,850.12 and 4,878.21 is: 7,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900 : 17,850.12 = 4,878.21 : x
  2. Step 2: Convert to fraction form
    11,900/17,850.12 = 4,878.21/x
  3. Step 3: Cross multiply
    11,900x = 17,850.12 × 4,878.21
  4. Step 4: Simplify right side
    11,900x = 87,076,633.89
  5. Step 5: Solve for x
    x = 87,076,633.89/11,900
  6. Step 6: Final answer
    x = 7,317.36

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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.