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Finding the Fourth Proportional to 13,891.77, 20,831.17 and 8,050.05

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Solution

The fourth proportional to 13,891.77, 20,831.17 and 8,050.05 is: 12,071.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.77 : 20,831.17 = 8,050.05 : x
  2. Step 2: Convert to fraction form
    13,891.77/20,831.17 = 8,050.05/x
  3. Step 3: Cross multiply
    13,891.77x = 20,831.17 × 8,050.05
  4. Step 4: Simplify right side
    13,891.77x = 167,691,960.06
  5. Step 5: Solve for x
    x = 167,691,960.06/13,891.77
  6. Step 6: Final answer
    x = 12,071.32

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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.