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Finding the Fourth Proportional to 22,262, 30,721.56 and 12,831.17

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Solution

The fourth proportional to 22,262, 30,721.56 and 12,831.17 is: 17,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262 : 30,721.56 = 12,831.17 : x
  2. Step 2: Convert to fraction form
    22,262/30,721.56 = 12,831.17/x
  3. Step 3: Cross multiply
    22,262x = 30,721.56 × 12,831.17
  4. Step 4: Simplify right side
    22,262x = 394,193,559.03
  5. Step 5: Solve for x
    x = 394,193,559.03/22,262
  6. Step 6: Final answer
    x = 17,707.01

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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.