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Finding the Fourth Proportional to 36,792, 55,100.16 and 21,176.82

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Solution

The fourth proportional to 36,792, 55,100.16 and 21,176.82 is: 31,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,792 : 55,100.16 = 21,176.82 : x
  2. Step 2: Convert to fraction form
    36,792/55,100.16 = 21,176.82/x
  3. Step 3: Cross multiply
    36,792x = 55,100.16 × 21,176.82
  4. Step 4: Simplify right side
    36,792x = 1,166,846,170.29
  5. Step 5: Solve for x
    x = 1,166,846,170.29/36,792
  6. Step 6: Final answer
    x = 31,714.67

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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.