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Finding the Fourth Proportional to 11,709.58, 17,564.28 and 3,918.34

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Solution

The fourth proportional to 11,709.58, 17,564.28 and 3,918.34 is: 5,877.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.58 : 17,564.28 = 3,918.34 : x
  2. Step 2: Convert to fraction form
    11,709.58/17,564.28 = 3,918.34/x
  3. Step 3: Cross multiply
    11,709.58x = 17,564.28 × 3,918.34
  4. Step 4: Simplify right side
    11,709.58x = 68,822,820.90
  5. Step 5: Solve for x
    x = 68,822,820.90/11,709.58
  6. Step 6: Final answer
    x = 5,877.48

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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.