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Finding the Fourth Proportional to 11,659.91, 17,486.07 and 3,866.63

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Solution

The fourth proportional to 11,659.91, 17,486.07 and 3,866.63 is: 5,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.91 : 17,486.07 = 3,866.63 : x
  2. Step 2: Convert to fraction form
    11,659.91/17,486.07 = 3,866.63/x
  3. Step 3: Cross multiply
    11,659.91x = 17,486.07 × 3,866.63
  4. Step 4: Simplify right side
    11,659.91x = 67,612,075.41
  5. Step 5: Solve for x
    x = 67,612,075.41/11,659.91
  6. Step 6: Final answer
    x = 5,798.68

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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.