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Finding the Fourth Proportional to 22,261.96, 30,722.97 and 12,831.13

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Solution

The fourth proportional to 22,261.96, 30,722.97 and 12,831.13 is: 17,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,261.96 : 30,722.97 = 12,831.13 : x
  2. Step 2: Convert to fraction form
    22,261.96/30,722.97 = 12,831.13/x
  3. Step 3: Cross multiply
    22,261.96x = 30,722.97 × 12,831.13
  4. Step 4: Simplify right side
    22,261.96x = 394,210,422.06
  5. Step 5: Solve for x
    x = 394,210,422.06/22,261.96
  6. Step 6: Final answer
    x = 17,707.80

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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.