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Finding the Fourth Proportional to 11,805.70, 17,708.52 and 3,039.88

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Solution

The fourth proportional to 11,805.70, 17,708.52 and 3,039.88 is: 4,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.70 : 17,708.52 = 3,039.88 : x
  2. Step 2: Convert to fraction form
    11,805.70/17,708.52 = 3,039.88/x
  3. Step 3: Cross multiply
    11,805.70x = 17,708.52 × 3,039.88
  4. Step 4: Simplify right side
    11,805.70x = 53,831,775.78
  5. Step 5: Solve for x
    x = 53,831,775.78/11,805.70
  6. Step 6: Final answer
    x = 4,559.81

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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.