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Finding the Fourth Proportional to 11,698, 16,143.24 and 7,725.76

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Solution

The fourth proportional to 11,698, 16,143.24 and 7,725.76 is: 10,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698 : 16,143.24 = 7,725.76 : x
  2. Step 2: Convert to fraction form
    11,698/16,143.24 = 7,725.76/x
  3. Step 3: Cross multiply
    11,698x = 16,143.24 × 7,725.76
  4. Step 4: Simplify right side
    11,698x = 124,718,797.86
  5. Step 5: Solve for x
    x = 124,718,797.86/11,698
  6. Step 6: Final answer
    x = 10,661.55

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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.