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Finding the Fourth Proportional to 31,503.35, 47,239.83 and 11,512.14

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Solution

The fourth proportional to 31,503.35, 47,239.83 and 11,512.14 is: 17,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.35 : 47,239.83 = 11,512.14 : x
  2. Step 2: Convert to fraction form
    31,503.35/47,239.83 = 11,512.14/x
  3. Step 3: Cross multiply
    31,503.35x = 47,239.83 × 11,512.14
  4. Step 4: Simplify right side
    31,503.35x = 543,831,536.54
  5. Step 5: Solve for x
    x = 543,831,536.54/31,503.35
  6. Step 6: Final answer
    x = 17,262.66

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