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Finding the Fourth Proportional to 16,194.96, 22,322.16 and 12,831.84

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Solution

The fourth proportional to 16,194.96, 22,322.16 and 12,831.84 is: 17,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.96 : 22,322.16 = 12,831.84 : x
  2. Step 2: Convert to fraction form
    16,194.96/22,322.16 = 12,831.84/x
  3. Step 3: Cross multiply
    16,194.96x = 22,322.16 × 12,831.84
  4. Step 4: Simplify right side
    16,194.96x = 286,434,385.57
  5. Step 5: Solve for x
    x = 286,434,385.57/16,194.96
  6. Step 6: Final answer
    x = 17,686.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.