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Finding the Fourth Proportional to 11,857.54, 17,786.30 and 3,543.39

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Solution

The fourth proportional to 11,857.54, 17,786.30 and 3,543.39 is: 5,315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.54 : 17,786.30 = 3,543.39 : x
  2. Step 2: Convert to fraction form
    11,857.54/17,786.30 = 3,543.39/x
  3. Step 3: Cross multiply
    11,857.54x = 17,786.30 × 3,543.39
  4. Step 4: Simplify right side
    11,857.54x = 63,023,797.56
  5. Step 5: Solve for x
    x = 63,023,797.56/11,857.54
  6. Step 6: Final answer
    x = 5,315.08

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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.