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Finding the Fourth Proportional to 36,810, 50,798 and 20,043

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Solution

The fourth proportional to 36,810, 50,798 and 20,043 is: 27,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,810 : 50,798 = 20,043 : x
  2. Step 2: Convert to fraction form
    36,810/50,798 = 20,043/x
  3. Step 3: Cross multiply
    36,810x = 50,798 × 20,043
  4. Step 4: Simplify right side
    36,810x = 1,018,144,314
  5. Step 5: Solve for x
    x = 1,018,144,314/36,810
  6. Step 6: Final answer
    x = 27,659.45

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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.