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Finding the Fourth Proportional to 13,143.15, 19,786.11 and 11,787

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Solution

The fourth proportional to 13,143.15, 19,786.11 and 11,787 is: 17,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.15 : 19,786.11 = 11,787 : x
  2. Step 2: Convert to fraction form
    13,143.15/19,786.11 = 11,787/x
  3. Step 3: Cross multiply
    13,143.15x = 19,786.11 × 11,787
  4. Step 4: Simplify right side
    13,143.15x = 233,218,878.57
  5. Step 5: Solve for x
    x = 233,218,878.57/13,143.15
  6. Step 6: Final answer
    x = 17,744.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.