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Finding the Fourth Proportional to 22,265, 30,725.70 and 12,329

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Solution

The fourth proportional to 22,265, 30,725.70 and 12,329 is: 17,014.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265 : 30,725.70 = 12,329 : x
  2. Step 2: Convert to fraction form
    22,265/30,725.70 = 12,329/x
  3. Step 3: Cross multiply
    22,265x = 30,725.70 × 12,329
  4. Step 4: Simplify right side
    22,265x = 378,817,155.30
  5. Step 5: Solve for x
    x = 378,817,155.30/22,265
  6. Step 6: Final answer
    x = 17,014.02

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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.