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Finding the Fourth Proportional to 22,270.68, 30,731.94 and 12,197.51

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Solution

The fourth proportional to 22,270.68, 30,731.94 and 12,197.51 is: 16,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270.68 : 30,731.94 = 12,197.51 : x
  2. Step 2: Convert to fraction form
    22,270.68/30,731.94 = 12,197.51/x
  3. Step 3: Cross multiply
    22,270.68x = 30,731.94 × 12,197.51
  4. Step 4: Simplify right side
    22,270.68x = 374,852,991.81
  5. Step 5: Solve for x
    x = 374,852,991.81/22,270.68
  6. Step 6: Final answer
    x = 16,831.68

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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.