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Finding the Fourth Proportional to 11,686.92, 17,519.20 and 3,890.28

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Solution

The fourth proportional to 11,686.92, 17,519.20 and 3,890.28 is: 5,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.92 : 17,519.20 = 3,890.28 : x
  2. Step 2: Convert to fraction form
    11,686.92/17,519.20 = 3,890.28/x
  3. Step 3: Cross multiply
    11,686.92x = 17,519.20 × 3,890.28
  4. Step 4: Simplify right side
    11,686.92x = 68,154,593.38
  5. Step 5: Solve for x
    x = 68,154,593.38/11,686.92
  6. Step 6: Final answer
    x = 5,831.70

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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.