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Finding the Fourth Proportional to 18,896.81, 26,078.68 and 10,831.81

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Solution

The fourth proportional to 18,896.81, 26,078.68 and 10,831.81 is: 14,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,896.81 : 26,078.68 = 10,831.81 : x
  2. Step 2: Convert to fraction form
    18,896.81/26,078.68 = 10,831.81/x
  3. Step 3: Cross multiply
    18,896.81x = 26,078.68 × 10,831.81
  4. Step 4: Simplify right side
    18,896.81x = 282,479,214.53
  5. Step 5: Solve for x
    x = 282,479,214.53/18,896.81
  6. Step 6: Final answer
    x = 14,948.51

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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.