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Finding the Fourth Proportional to 20,457, 30,690.36 and 6,606

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Solution

The fourth proportional to 20,457, 30,690.36 and 6,606 is: 9,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457 : 30,690.36 = 6,606 : x
  2. Step 2: Convert to fraction form
    20,457/30,690.36 = 6,606/x
  3. Step 3: Cross multiply
    20,457x = 30,690.36 × 6,606
  4. Step 4: Simplify right side
    20,457x = 202,740,518.16
  5. Step 5: Solve for x
    x = 202,740,518.16/20,457
  6. Step 6: Final answer
    x = 9,910.57

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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.