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Finding the Fourth Proportional to 12,813.81, 19,223.96 and 3,579.81

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Solution

The fourth proportional to 12,813.81, 19,223.96 and 3,579.81 is: 5,370.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.81 : 19,223.96 = 3,579.81 : x
  2. Step 2: Convert to fraction form
    12,813.81/19,223.96 = 3,579.81/x
  3. Step 3: Cross multiply
    12,813.81x = 19,223.96 × 3,579.81
  4. Step 4: Simplify right side
    12,813.81x = 68,818,172.31
  5. Step 5: Solve for x
    x = 68,818,172.31/12,813.81
  6. Step 6: Final answer
    x = 5,370.62

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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.