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Finding the Fourth Proportional to 19,806.22, 29,709.06 and 4,813.46

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Solution

The fourth proportional to 19,806.22, 29,709.06 and 4,813.46 is: 7,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.22 : 29,709.06 = 4,813.46 : x
  2. Step 2: Convert to fraction form
    19,806.22/29,709.06 = 4,813.46/x
  3. Step 3: Cross multiply
    19,806.22x = 29,709.06 × 4,813.46
  4. Step 4: Simplify right side
    19,806.22x = 143,003,371.95
  5. Step 5: Solve for x
    x = 143,003,371.95/19,806.22
  6. Step 6: Final answer
    x = 7,220.12

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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.