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Finding the Fourth Proportional to 7,921.71, 11,884.95 and 2,375.28

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Solution

The fourth proportional to 7,921.71, 11,884.95 and 2,375.28 is: 3,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.71 : 11,884.95 = 2,375.28 : x
  2. Step 2: Convert to fraction form
    7,921.71/11,884.95 = 2,375.28/x
  3. Step 3: Cross multiply
    7,921.71x = 11,884.95 × 2,375.28
  4. Step 4: Simplify right side
    7,921.71x = 28,230,084.04
  5. Step 5: Solve for x
    x = 28,230,084.04/7,921.71
  6. Step 6: Final answer
    x = 3,563.64

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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.