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Finding the Fourth Proportional to 12,859.80, 17,749.62 and 8,082.60

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Solution

The fourth proportional to 12,859.80, 17,749.62 and 8,082.60 is: 11,155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.80 : 17,749.62 = 8,082.60 : x
  2. Step 2: Convert to fraction form
    12,859.80/17,749.62 = 8,082.60/x
  3. Step 3: Cross multiply
    12,859.80x = 17,749.62 × 8,082.60
  4. Step 4: Simplify right side
    12,859.80x = 143,463,078.61
  5. Step 5: Solve for x
    x = 143,463,078.61/12,859.80
  6. Step 6: Final answer
    x = 11,155.93

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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.