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Finding the Fourth Proportional to 11,857.69, 17,786.52 and 3,543.54

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Solution

The fourth proportional to 11,857.69, 17,786.52 and 3,543.54 is: 5,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.69 : 17,786.52 = 3,543.54 : x
  2. Step 2: Convert to fraction form
    11,857.69/17,786.52 = 3,543.54/x
  3. Step 3: Cross multiply
    11,857.69x = 17,786.52 × 3,543.54
  4. Step 4: Simplify right side
    11,857.69x = 63,027,156.15
  5. Step 5: Solve for x
    x = 63,027,156.15/11,857.69
  6. Step 6: Final answer
    x = 5,315.30

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1.5x scale

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.