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Finding the Fourth Proportional to 11,495.25, 17,242.88 and 3,287.25

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Solution

The fourth proportional to 11,495.25, 17,242.88 and 3,287.25 is: 4,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.25 : 17,242.88 = 3,287.25 : x
  2. Step 2: Convert to fraction form
    11,495.25/17,242.88 = 3,287.25/x
  3. Step 3: Cross multiply
    11,495.25x = 17,242.88 × 3,287.25
  4. Step 4: Simplify right side
    11,495.25x = 56,681,640.84
  5. Step 5: Solve for x
    x = 56,681,640.84/11,495.25
  6. Step 6: Final answer
    x = 4,930.88

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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.