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Finding the Fourth Proportional to 20,136, 30,208.32 and 7,824

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Solution

The fourth proportional to 20,136, 30,208.32 and 7,824 is: 11,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136 : 30,208.32 = 7,824 : x
  2. Step 2: Convert to fraction form
    20,136/30,208.32 = 7,824/x
  3. Step 3: Cross multiply
    20,136x = 30,208.32 × 7,824
  4. Step 4: Simplify right side
    20,136x = 236,349,895.68
  5. Step 5: Solve for x
    x = 236,349,895.68/20,136
  6. Step 6: Final answer
    x = 11,737.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.