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Finding the Fourth Proportional to 22,345.29, 30,836.47 and 12,274.39

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Solution

The fourth proportional to 22,345.29, 30,836.47 and 12,274.39 is: 16,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.29 : 30,836.47 = 12,274.39 : x
  2. Step 2: Convert to fraction form
    22,345.29/30,836.47 = 12,274.39/x
  3. Step 3: Cross multiply
    22,345.29x = 30,836.47 × 12,274.39
  4. Step 4: Simplify right side
    22,345.29x = 378,498,859.00
  5. Step 5: Solve for x
    x = 378,498,859.00/22,345.29
  6. Step 6: Final answer
    x = 16,938.64

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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.