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Finding the Fourth Proportional to 36,946, 50,985.75 and 20,179

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Solution

The fourth proportional to 36,946, 50,985.75 and 20,179 is: 27,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,946 : 50,985.75 = 20,179 : x
  2. Step 2: Convert to fraction form
    36,946/50,985.75 = 20,179/x
  3. Step 3: Cross multiply
    36,946x = 50,985.75 × 20,179
  4. Step 4: Simplify right side
    36,946x = 1,028,841,449.25
  5. Step 5: Solve for x
    x = 1,028,841,449.25/36,946
  6. Step 6: Final answer
    x = 27,847.17

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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.