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Finding the Fourth Proportional to 12,730.92, 19,098.90 and 3,965.46

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Solution

The fourth proportional to 12,730.92, 19,098.90 and 3,965.46 is: 5,948.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.92 : 19,098.90 = 3,965.46 : x
  2. Step 2: Convert to fraction form
    12,730.92/19,098.90 = 3,965.46/x
  3. Step 3: Cross multiply
    12,730.92x = 19,098.90 × 3,965.46
  4. Step 4: Simplify right side
    12,730.92x = 75,735,923.99
  5. Step 5: Solve for x
    x = 75,735,923.99/12,730.92
  6. Step 6: Final answer
    x = 5,948.97

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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.