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Finding the Fourth Proportional to 19,609.57, 29,414.34 and 7,922.79

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Solution

The fourth proportional to 19,609.57, 29,414.34 and 7,922.79 is: 11,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,609.57 : 29,414.34 = 7,922.79 : x
  2. Step 2: Convert to fraction form
    19,609.57/29,414.34 = 7,922.79/x
  3. Step 3: Cross multiply
    19,609.57x = 29,414.34 × 7,922.79
  4. Step 4: Simplify right side
    19,609.57x = 233,043,638.81
  5. Step 5: Solve for x
    x = 233,043,638.81/19,609.57
  6. Step 6: Final answer
    x = 11,884.18

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1.5x scale

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.