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Finding the Fourth Proportional to 36,729, 50,686.02 and 21,825

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Solution

The fourth proportional to 36,729, 50,686.02 and 21,825 is: 30,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,729 : 50,686.02 = 21,825 : x
  2. Step 2: Convert to fraction form
    36,729/50,686.02 = 21,825/x
  3. Step 3: Cross multiply
    36,729x = 50,686.02 × 21,825
  4. Step 4: Simplify right side
    36,729x = 1,106,222,386.50
  5. Step 5: Solve for x
    x = 1,106,222,386.50/36,729
  6. Step 6: Final answer
    x = 30,118.50

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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.