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Finding the Fourth Proportional to 10,909, 15,054.58 and 5,941

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Solution

The fourth proportional to 10,909, 15,054.58 and 5,941 is: 8,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909 : 15,054.58 = 5,941 : x
  2. Step 2: Convert to fraction form
    10,909/15,054.58 = 5,941/x
  3. Step 3: Cross multiply
    10,909x = 15,054.58 × 5,941
  4. Step 4: Simplify right side
    10,909x = 89,439,259.78
  5. Step 5: Solve for x
    x = 89,439,259.78/10,909
  6. Step 6: Final answer
    x = 8,198.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.