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Finding the Fourth Proportional to 21,822, 30,114.36 and 11,886

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Solution

The fourth proportional to 21,822, 30,114.36 and 11,886 is: 16,402.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822 : 30,114.36 = 11,886 : x
  2. Step 2: Convert to fraction form
    21,822/30,114.36 = 11,886/x
  3. Step 3: Cross multiply
    21,822x = 30,114.36 × 11,886
  4. Step 4: Simplify right side
    21,822x = 357,939,282.96
  5. Step 5: Solve for x
    x = 357,939,282.96/21,822
  6. Step 6: Final answer
    x = 16,402.68

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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.