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Finding the Fourth Proportional to 11,090, 16,636.08 and 2,882

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Solution

The fourth proportional to 11,090, 16,636.08 and 2,882 is: 4,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,090 : 16,636.08 = 2,882 : x
  2. Step 2: Convert to fraction form
    11,090/16,636.08 = 2,882/x
  3. Step 3: Cross multiply
    11,090x = 16,636.08 × 2,882
  4. Step 4: Simplify right side
    11,090x = 47,945,182.56
  5. Step 5: Solve for x
    x = 47,945,182.56/11,090
  6. Step 6: Final answer
    x = 4,323.28

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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.