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Finding the Fourth Proportional to 11,774.40, 17,661.60 and 3,983.10

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Solution

The fourth proportional to 11,774.40, 17,661.60 and 3,983.10 is: 5,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.40 : 17,661.60 = 3,983.10 : x
  2. Step 2: Convert to fraction form
    11,774.40/17,661.60 = 3,983.10/x
  3. Step 3: Cross multiply
    11,774.40x = 17,661.60 × 3,983.10
  4. Step 4: Simplify right side
    11,774.40x = 70,347,918.96
  5. Step 5: Solve for x
    x = 70,347,918.96/11,774.40
  6. Step 6: Final answer
    x = 5,974.65

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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.