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Finding the Fourth Proportional to 30,551.44, 45,834 and 11,831.68

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Solution

The fourth proportional to 30,551.44, 45,834 and 11,831.68 is: 17,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,551.44 : 45,834 = 11,831.68 : x
  2. Step 2: Convert to fraction form
    30,551.44/45,834 = 11,831.68/x
  3. Step 3: Cross multiply
    30,551.44x = 45,834 × 11,831.68
  4. Step 4: Simplify right side
    30,551.44x = 542,293,221.12
  5. Step 5: Solve for x
    x = 542,293,221.12/30,551.44
  6. Step 6: Final answer
    x = 17,750.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.