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Finding the Fourth Proportional to 11,921.76, 17,877.06 and 6,373.80

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Solution

The fourth proportional to 11,921.76, 17,877.06 and 6,373.80 is: 9,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.76 : 17,877.06 = 6,373.80 : x
  2. Step 2: Convert to fraction form
    11,921.76/17,877.06 = 6,373.80/x
  3. Step 3: Cross multiply
    11,921.76x = 17,877.06 × 6,373.80
  4. Step 4: Simplify right side
    11,921.76x = 113,944,805.03
  5. Step 5: Solve for x
    x = 113,944,805.03/11,921.76
  6. Step 6: Final answer
    x = 9,557.72

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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.