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Finding the Fourth Proportional to 13,734.33, 18,951.02 and 7,765.87

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Solution

The fourth proportional to 13,734.33, 18,951.02 and 7,765.87 is: 10,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.33 : 18,951.02 = 7,765.87 : x
  2. Step 2: Convert to fraction form
    13,734.33/18,951.02 = 7,765.87/x
  3. Step 3: Cross multiply
    13,734.33x = 18,951.02 × 7,765.87
  4. Step 4: Simplify right side
    13,734.33x = 147,171,157.69
  5. Step 5: Solve for x
    x = 147,171,157.69/13,734.33
  6. Step 6: Final answer
    x = 10,715.57

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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.