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Finding the Fourth Proportional to 12,515, 18,765.21 and 5,494.73

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Solution

The fourth proportional to 12,515, 18,765.21 and 5,494.73 is: 8,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,515 : 18,765.21 = 5,494.73 : x
  2. Step 2: Convert to fraction form
    12,515/18,765.21 = 5,494.73/x
  3. Step 3: Cross multiply
    12,515x = 18,765.21 × 5,494.73
  4. Step 4: Simplify right side
    12,515x = 103,109,762.34
  5. Step 5: Solve for x
    x = 103,109,762.34/12,515
  6. Step 6: Final answer
    x = 8,238.89

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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.