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Finding the Fourth Proportional to 11,820.64, 17,731.02 and 3,500.82

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Solution

The fourth proportional to 11,820.64, 17,731.02 and 3,500.82 is: 5,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.64 : 17,731.02 = 3,500.82 : x
  2. Step 2: Convert to fraction form
    11,820.64/17,731.02 = 3,500.82/x
  3. Step 3: Cross multiply
    11,820.64x = 17,731.02 × 3,500.82
  4. Step 4: Simplify right side
    11,820.64x = 62,073,109.44
  5. Step 5: Solve for x
    x = 62,073,109.44/11,820.64
  6. Step 6: Final answer
    x = 5,251.25

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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.