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Finding the Fourth Proportional to 7,188.92, 10,779.73 and 3,289.98

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Solution

The fourth proportional to 7,188.92, 10,779.73 and 3,289.98 is: 4,933.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.92 : 10,779.73 = 3,289.98 : x
  2. Step 2: Convert to fraction form
    7,188.92/10,779.73 = 3,289.98/x
  3. Step 3: Cross multiply
    7,188.92x = 10,779.73 × 3,289.98
  4. Step 4: Simplify right side
    7,188.92x = 35,465,096.11
  5. Step 5: Solve for x
    x = 35,465,096.11/7,188.92
  6. Step 6: Final answer
    x = 4,933.30

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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.