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Finding the Fourth Proportional to 21,837, 30,135.14 and 11,901

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Solution

The fourth proportional to 21,837, 30,135.14 and 11,901 is: 16,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,837 : 30,135.14 = 11,901 : x
  2. Step 2: Convert to fraction form
    21,837/30,135.14 = 11,901/x
  3. Step 3: Cross multiply
    21,837x = 30,135.14 × 11,901
  4. Step 4: Simplify right side
    21,837x = 358,638,301.14
  5. Step 5: Solve for x
    x = 358,638,301.14/21,837
  6. Step 6: Final answer
    x = 16,423.42

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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.