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Finding the Fourth Proportional to 22,344.28, 30,831.42 and 12,912.28

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Solution

The fourth proportional to 22,344.28, 30,831.42 and 12,912.28 is: 17,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,344.28 : 30,831.42 = 12,912.28 : x
  2. Step 2: Convert to fraction form
    22,344.28/30,831.42 = 12,912.28/x
  3. Step 3: Cross multiply
    22,344.28x = 30,831.42 × 12,912.28
  4. Step 4: Simplify right side
    22,344.28x = 398,103,927.84
  5. Step 5: Solve for x
    x = 398,103,927.84/22,344.28
  6. Step 6: Final answer
    x = 17,816.82

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1.5x scale

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.