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Finding the Fourth Proportional to 11,657.13, 17,488.43 and 3,865.94

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Solution

The fourth proportional to 11,657.13, 17,488.43 and 3,865.94 is: 5,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.13 : 17,488.43 = 3,865.94 : x
  2. Step 2: Convert to fraction form
    11,657.13/17,488.43 = 3,865.94/x
  3. Step 3: Cross multiply
    11,657.13x = 17,488.43 × 3,865.94
  4. Step 4: Simplify right side
    11,657.13x = 67,609,221.07
  5. Step 5: Solve for x
    x = 67,609,221.07/11,657.13
  6. Step 6: Final answer
    x = 5,799.82

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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.