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Finding the Fourth Proportional to 20,609.29, 30,916.37 and 6,564.43

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Solution

The fourth proportional to 20,609.29, 30,916.37 and 6,564.43 is: 9,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.29 : 30,916.37 = 6,564.43 : x
  2. Step 2: Convert to fraction form
    20,609.29/30,916.37 = 6,564.43/x
  3. Step 3: Cross multiply
    20,609.29x = 30,916.37 × 6,564.43
  4. Step 4: Simplify right side
    20,609.29x = 202,948,346.72
  5. Step 5: Solve for x
    x = 202,948,346.72/20,609.29
  6. Step 6: Final answer
    x = 9,847.42

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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.