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Finding the Fourth Proportional to 21,838, 30,136.52 and 11,902

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Solution

The fourth proportional to 21,838, 30,136.52 and 11,902 is: 16,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838 : 30,136.52 = 11,902 : x
  2. Step 2: Convert to fraction form
    21,838/30,136.52 = 11,902/x
  3. Step 3: Cross multiply
    21,838x = 30,136.52 × 11,902
  4. Step 4: Simplify right side
    21,838x = 358,684,861.04
  5. Step 5: Solve for x
    x = 358,684,861.04/21,838
  6. Step 6: Final answer
    x = 16,424.80

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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.