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Finding the Fourth Proportional to 7,969.88, 11,956.24 and 3,287.28

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Solution

The fourth proportional to 7,969.88, 11,956.24 and 3,287.28 is: 4,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.88 : 11,956.24 = 3,287.28 : x
  2. Step 2: Convert to fraction form
    7,969.88/11,956.24 = 3,287.28/x
  3. Step 3: Cross multiply
    7,969.88x = 11,956.24 × 3,287.28
  4. Step 4: Simplify right side
    7,969.88x = 39,303,508.63
  5. Step 5: Solve for x
    x = 39,303,508.63/7,969.88
  6. Step 6: Final answer
    x = 4,931.51

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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.