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Finding the Fourth Proportional to 13,000.72, 19,503 and 3,765.52

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Solution

The fourth proportional to 13,000.72, 19,503 and 3,765.52 is: 5,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.72 : 19,503 = 3,765.52 : x
  2. Step 2: Convert to fraction form
    13,000.72/19,503 = 3,765.52/x
  3. Step 3: Cross multiply
    13,000.72x = 19,503 × 3,765.52
  4. Step 4: Simplify right side
    13,000.72x = 73,438,936.56
  5. Step 5: Solve for x
    x = 73,438,936.56/13,000.72
  6. Step 6: Final answer
    x = 5,648.84

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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.