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Finding the Fourth Proportional to 22,139, 33,209.94 and 9,827

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Solution

The fourth proportional to 22,139, 33,209.94 and 9,827 is: 14,741.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,139 : 33,209.94 = 9,827 : x
  2. Step 2: Convert to fraction form
    22,139/33,209.94 = 9,827/x
  3. Step 3: Cross multiply
    22,139x = 33,209.94 × 9,827
  4. Step 4: Simplify right side
    22,139x = 326,354,080.38
  5. Step 5: Solve for x
    x = 326,354,080.38/22,139
  6. Step 6: Final answer
    x = 14,741.14

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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.