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Finding the Fourth Proportional to 36,724, 50,683.44 and 21,820

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Solution

The fourth proportional to 36,724, 50,683.44 and 21,820 is: 30,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,724 : 50,683.44 = 21,820 : x
  2. Step 2: Convert to fraction form
    36,724/50,683.44 = 21,820/x
  3. Step 3: Cross multiply
    36,724x = 50,683.44 × 21,820
  4. Step 4: Simplify right side
    36,724x = 1,105,912,660.80
  5. Step 5: Solve for x
    x = 1,105,912,660.80/36,724
  6. Step 6: Final answer
    x = 30,114.17

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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.