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Finding the Fourth Proportional to 12,004.40, 17,998.40 and 5,427

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Solution

The fourth proportional to 12,004.40, 17,998.40 and 5,427 is: 8,136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.40 : 17,998.40 = 5,427 : x
  2. Step 2: Convert to fraction form
    12,004.40/17,998.40 = 5,427/x
  3. Step 3: Cross multiply
    12,004.40x = 17,998.40 × 5,427
  4. Step 4: Simplify right side
    12,004.40x = 97,677,316.80
  5. Step 5: Solve for x
    x = 97,677,316.80/12,004.40
  6. Step 6: Final answer
    x = 8,136.79

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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.