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Finding the Fourth Proportional to 36,730, 50,687.40 and 21,826

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Solution

The fourth proportional to 36,730, 50,687.40 and 21,826 is: 30,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,730 : 50,687.40 = 21,826 : x
  2. Step 2: Convert to fraction form
    36,730/50,687.40 = 21,826/x
  3. Step 3: Cross multiply
    36,730x = 50,687.40 × 21,826
  4. Step 4: Simplify right side
    36,730x = 1,106,303,192.40
  5. Step 5: Solve for x
    x = 1,106,303,192.40/36,730
  6. Step 6: Final answer
    x = 30,119.88

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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.