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Finding the Fourth Proportional to 10,816.44, 14,915.30 and 8,544

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Solution

The fourth proportional to 10,816.44, 14,915.30 and 8,544 is: 11,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.44 : 14,915.30 = 8,544 : x
  2. Step 2: Convert to fraction form
    10,816.44/14,915.30 = 8,544/x
  3. Step 3: Cross multiply
    10,816.44x = 14,915.30 × 8,544
  4. Step 4: Simplify right side
    10,816.44x = 127,436,323.20
  5. Step 5: Solve for x
    x = 127,436,323.20/10,816.44
  6. Step 6: Final answer
    x = 11,781.73

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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.