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Finding the Fourth Proportional to 11,681.87, 17,511.82 and 5,756.47

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Solution

The fourth proportional to 11,681.87, 17,511.82 and 5,756.47 is: 8,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.87 : 17,511.82 = 5,756.47 : x
  2. Step 2: Convert to fraction form
    11,681.87/17,511.82 = 5,756.47/x
  3. Step 3: Cross multiply
    11,681.87x = 17,511.82 × 5,756.47
  4. Step 4: Simplify right side
    11,681.87x = 100,806,208.30
  5. Step 5: Solve for x
    x = 100,806,208.30/11,681.87
  6. Step 6: Final answer
    x = 8,629.29

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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.