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Finding the Fourth Proportional to 12,815, 19,223.76 and 3,581

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Solution

The fourth proportional to 12,815, 19,223.76 and 3,581 is: 5,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815 : 19,223.76 = 3,581 : x
  2. Step 2: Convert to fraction form
    12,815/19,223.76 = 3,581/x
  3. Step 3: Cross multiply
    12,815x = 19,223.76 × 3,581
  4. Step 4: Simplify right side
    12,815x = 68,840,284.56
  5. Step 5: Solve for x
    x = 68,840,284.56/12,815
  6. Step 6: Final answer
    x = 5,371.85

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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.