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Finding the Fourth Proportional to 36,820, 50,811.60 and 20,053

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Solution

The fourth proportional to 36,820, 50,811.60 and 20,053 is: 27,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,820 : 50,811.60 = 20,053 : x
  2. Step 2: Convert to fraction form
    36,820/50,811.60 = 20,053/x
  3. Step 3: Cross multiply
    36,820x = 50,811.60 × 20,053
  4. Step 4: Simplify right side
    36,820x = 1,018,925,014.80
  5. Step 5: Solve for x
    x = 1,018,925,014.80/36,820
  6. Step 6: Final answer
    x = 27,673.14

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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.