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Finding the Fourth Proportional to 11,402.44, 17,109.08 and 7,897.84

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Solution

The fourth proportional to 11,402.44, 17,109.08 and 7,897.84 is: 11,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.44 : 17,109.08 = 7,897.84 : x
  2. Step 2: Convert to fraction form
    11,402.44/17,109.08 = 7,897.84/x
  3. Step 3: Cross multiply
    11,402.44x = 17,109.08 × 7,897.84
  4. Step 4: Simplify right side
    11,402.44x = 135,124,736.90
  5. Step 5: Solve for x
    x = 135,124,736.90/11,402.44
  6. Step 6: Final answer
    x = 11,850.51

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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.