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Finding the Fourth Proportional to 12,720, 19,086.15 and 7,786.97

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Solution

The fourth proportional to 12,720, 19,086.15 and 7,786.97 is: 11,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720 : 19,086.15 = 7,786.97 : x
  2. Step 2: Convert to fraction form
    12,720/19,086.15 = 7,786.97/x
  3. Step 3: Cross multiply
    12,720x = 19,086.15 × 7,786.97
  4. Step 4: Simplify right side
    12,720x = 148,623,277.47
  5. Step 5: Solve for x
    x = 148,623,277.47/12,720
  6. Step 6: Final answer
    x = 11,684.22

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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.