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Finding the Fourth Proportional to 11,775.28, 17,663.12 and 5,200.04

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Solution

The fourth proportional to 11,775.28, 17,663.12 and 5,200.04 is: 7,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.28 : 17,663.12 = 5,200.04 : x
  2. Step 2: Convert to fraction form
    11,775.28/17,663.12 = 5,200.04/x
  3. Step 3: Cross multiply
    11,775.28x = 17,663.12 × 5,200.04
  4. Step 4: Simplify right side
    11,775.28x = 91,848,930.52
  5. Step 5: Solve for x
    x = 91,848,930.52/11,775.28
  6. Step 6: Final answer
    x = 7,800.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.