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Finding the Fourth Proportional to 11,348.50, 15,660.93 and 6,380.50

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Solution

The fourth proportional to 11,348.50, 15,660.93 and 6,380.50 is: 8,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.50 : 15,660.93 = 6,380.50 : x
  2. Step 2: Convert to fraction form
    11,348.50/15,660.93 = 6,380.50/x
  3. Step 3: Cross multiply
    11,348.50x = 15,660.93 × 6,380.50
  4. Step 4: Simplify right side
    11,348.50x = 99,924,563.87
  5. Step 5: Solve for x
    x = 99,924,563.87/11,348.50
  6. Step 6: Final answer
    x = 8,805.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.