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Finding the Fourth Proportional to 12,765.67, 19,131.86 and 6,520.42

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Solution

The fourth proportional to 12,765.67, 19,131.86 and 6,520.42 is: 9,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.67 : 19,131.86 = 6,520.42 : x
  2. Step 2: Convert to fraction form
    12,765.67/19,131.86 = 6,520.42/x
  3. Step 3: Cross multiply
    12,765.67x = 19,131.86 × 6,520.42
  4. Step 4: Simplify right side
    12,765.67x = 124,747,695.18
  5. Step 5: Solve for x
    x = 124,747,695.18/12,765.67
  6. Step 6: Final answer
    x = 9,772.12

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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.