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Finding the Fourth Proportional to 11,442.87, 17,172 and 4,047.30

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Solution

The fourth proportional to 11,442.87, 17,172 and 4,047.30 is: 6,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.87 : 17,172 = 4,047.30 : x
  2. Step 2: Convert to fraction form
    11,442.87/17,172 = 4,047.30/x
  3. Step 3: Cross multiply
    11,442.87x = 17,172 × 4,047.30
  4. Step 4: Simplify right side
    11,442.87x = 69,500,235.60
  5. Step 5: Solve for x
    x = 69,500,235.60/11,442.87
  6. Step 6: Final answer
    x = 6,073.67

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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.