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Finding the Fourth Proportional to 36,728.84, 50,679.54 and 20,810

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Solution

The fourth proportional to 36,728.84, 50,679.54 and 20,810 is: 28,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,728.84 : 50,679.54 = 20,810 : x
  2. Step 2: Convert to fraction form
    36,728.84/50,679.54 = 20,810/x
  3. Step 3: Cross multiply
    36,728.84x = 50,679.54 × 20,810
  4. Step 4: Simplify right side
    36,728.84x = 1,054,641,227.40
  5. Step 5: Solve for x
    x = 1,054,641,227.40/36,728.84
  6. Step 6: Final answer
    x = 28,714.25

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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.