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Finding the Fourth Proportional to 11,773.85, 17,649.79 and 3,977.21

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Solution

The fourth proportional to 11,773.85, 17,649.79 and 3,977.21 is: 5,962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.85 : 17,649.79 = 3,977.21 : x
  2. Step 2: Convert to fraction form
    11,773.85/17,649.79 = 3,977.21/x
  3. Step 3: Cross multiply
    11,773.85x = 17,649.79 × 3,977.21
  4. Step 4: Simplify right side
    11,773.85x = 70,196,921.29
  5. Step 5: Solve for x
    x = 70,196,921.29/11,773.85
  6. Step 6: Final answer
    x = 5,962.10

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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.