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Finding the Fourth Proportional to 11,820.70, 17,735.10 and 5,251.60

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Solution

The fourth proportional to 11,820.70, 17,735.10 and 5,251.60 is: 7,879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.70 : 17,735.10 = 5,251.60 : x
  2. Step 2: Convert to fraction form
    11,820.70/17,735.10 = 5,251.60/x
  3. Step 3: Cross multiply
    11,820.70x = 17,735.10 × 5,251.60
  4. Step 4: Simplify right side
    11,820.70x = 93,137,651.16
  5. Step 5: Solve for x
    x = 93,137,651.16/11,820.70
  6. Step 6: Final answer
    x = 7,879.20

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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.