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Finding the Fourth Proportional to 13,689.71, 18,891.93 and 8,027.81

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Solution

The fourth proportional to 13,689.71, 18,891.93 and 8,027.81 is: 11,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.71 : 18,891.93 = 8,027.81 : x
  2. Step 2: Convert to fraction form
    13,689.71/18,891.93 = 8,027.81/x
  3. Step 3: Cross multiply
    13,689.71x = 18,891.93 × 8,027.81
  4. Step 4: Simplify right side
    13,689.71x = 151,660,831.06
  5. Step 5: Solve for x
    x = 151,660,831.06/13,689.71
  6. Step 6: Final answer
    x = 11,078.46

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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.