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Finding the Fourth Proportional to 11,657.63, 17,489.21 and 3,866.45

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Solution

The fourth proportional to 11,657.63, 17,489.21 and 3,866.45 is: 5,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.63 : 17,489.21 = 3,866.45 : x
  2. Step 2: Convert to fraction form
    11,657.63/17,489.21 = 3,866.45/x
  3. Step 3: Cross multiply
    11,657.63x = 17,489.21 × 3,866.45
  4. Step 4: Simplify right side
    11,657.63x = 67,621,049.23
  5. Step 5: Solve for x
    x = 67,621,049.23/11,657.63
  6. Step 6: Final answer
    x = 5,800.59

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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.