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Finding the Fourth Proportional to 21,889, 30,206.82 and 11,953

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Solution

The fourth proportional to 21,889, 30,206.82 and 11,953 is: 16,495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,889 : 30,206.82 = 11,953 : x
  2. Step 2: Convert to fraction form
    21,889/30,206.82 = 11,953/x
  3. Step 3: Cross multiply
    21,889x = 30,206.82 × 11,953
  4. Step 4: Simplify right side
    21,889x = 361,062,119.46
  5. Step 5: Solve for x
    x = 361,062,119.46/21,889
  6. Step 6: Final answer
    x = 16,495.14

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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.