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Finding the Fourth Proportional to 20,649, 30,977.34 and 9,705

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Solution

The fourth proportional to 20,649, 30,977.34 and 9,705 is: 14,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,649 : 30,977.34 = 9,705 : x
  2. Step 2: Convert to fraction form
    20,649/30,977.34 = 9,705/x
  3. Step 3: Cross multiply
    20,649x = 30,977.34 × 9,705
  4. Step 4: Simplify right side
    20,649x = 300,635,084.70
  5. Step 5: Solve for x
    x = 300,635,084.70/20,649
  6. Step 6: Final answer
    x = 14,559.30

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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.