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Finding the Fourth Proportional to 13,815, 20,725.74 and 4,581

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Solution

The fourth proportional to 13,815, 20,725.74 and 4,581 is: 6,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815 : 20,725.74 = 4,581 : x
  2. Step 2: Convert to fraction form
    13,815/20,725.74 = 4,581/x
  3. Step 3: Cross multiply
    13,815x = 20,725.74 × 4,581
  4. Step 4: Simplify right side
    13,815x = 94,944,614.94
  5. Step 5: Solve for x
    x = 94,944,614.94/13,815
  6. Step 6: Final answer
    x = 6,872.57

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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.