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Finding the Fourth Proportional to 9,287.82, 13,933.88 and 3,131.82

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Solution

The fourth proportional to 9,287.82, 13,933.88 and 3,131.82 is: 4,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.82 : 13,933.88 = 3,131.82 : x
  2. Step 2: Convert to fraction form
    9,287.82/13,933.88 = 3,131.82/x
  3. Step 3: Cross multiply
    9,287.82x = 13,933.88 × 3,131.82
  4. Step 4: Simplify right side
    9,287.82x = 43,638,388.40
  5. Step 5: Solve for x
    x = 43,638,388.40/9,287.82
  6. Step 6: Final answer
    x = 4,698.45

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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.