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Finding the Fourth Proportional to 11,568, 15,992.64 and 11,078.40

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Solution

The fourth proportional to 11,568, 15,992.64 and 11,078.40 is: 15,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568 : 15,992.64 = 11,078.40 : x
  2. Step 2: Convert to fraction form
    11,568/15,992.64 = 11,078.40/x
  3. Step 3: Cross multiply
    11,568x = 15,992.64 × 11,078.40
  4. Step 4: Simplify right side
    11,568x = 177,172,862.98
  5. Step 5: Solve for x
    x = 177,172,862.98/11,568
  6. Step 6: Final answer
    x = 15,315.77

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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.