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Finding the Fourth Proportional to 36,738, 50,702.70 and 20,609.76

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Solution

The fourth proportional to 36,738, 50,702.70 and 20,609.76 is: 28,443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,738 : 50,702.70 = 20,609.76 : x
  2. Step 2: Convert to fraction form
    36,738/50,702.70 = 20,609.76/x
  3. Step 3: Cross multiply
    36,738x = 50,702.70 × 20,609.76
  4. Step 4: Simplify right side
    36,738x = 1,044,970,478.35
  5. Step 5: Solve for x
    x = 1,044,970,478.35/36,738
  6. Step 6: Final answer
    x = 28,443.86

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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.