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Finding the Fourth Proportional to 28,103.50, 42,157.68 and 7,327

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Solution

The fourth proportional to 28,103.50, 42,157.68 and 7,327 is: 10,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,103.50 : 42,157.68 = 7,327 : x
  2. Step 2: Convert to fraction form
    28,103.50/42,157.68 = 7,327/x
  3. Step 3: Cross multiply
    28,103.50x = 42,157.68 × 7,327
  4. Step 4: Simplify right side
    28,103.50x = 308,889,321.36
  5. Step 5: Solve for x
    x = 308,889,321.36/28,103.50
  6. Step 6: Final answer
    x = 10,991.13

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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.