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Finding the Fourth Proportional to 11,921.87, 17,880.08 and 5,349.94

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Solution

The fourth proportional to 11,921.87, 17,880.08 and 5,349.94 is: 8,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.87 : 17,880.08 = 5,349.94 : x
  2. Step 2: Convert to fraction form
    11,921.87/17,880.08 = 5,349.94/x
  3. Step 3: Cross multiply
    11,921.87x = 17,880.08 × 5,349.94
  4. Step 4: Simplify right side
    11,921.87x = 95,657,283.75
  5. Step 5: Solve for x
    x = 95,657,283.75/11,921.87
  6. Step 6: Final answer
    x = 8,023.68

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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.