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Finding the Fourth Proportional to 11,820.98, 17,731.48 and 2,936.30

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Solution

The fourth proportional to 11,820.98, 17,731.48 and 2,936.30 is: 4,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.98 : 17,731.48 = 2,936.30 : x
  2. Step 2: Convert to fraction form
    11,820.98/17,731.48 = 2,936.30/x
  3. Step 3: Cross multiply
    11,820.98x = 17,731.48 × 2,936.30
  4. Step 4: Simplify right side
    11,820.98x = 52,064,944.72
  5. Step 5: Solve for x
    x = 52,064,944.72/11,820.98
  6. Step 6: Final answer
    x = 4,404.45

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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.